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Título : Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering Tipo de documento: documento electrónico Autores: Ole Christensen ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Applied and Numerical Harmonic Analysis Número de páginas: XIX, 266 p. 9 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4980-7 Idioma : Inglés (eng) Palabras clave: Mathematics Fourier analysis Functional Special functions Mathematical models Physics Applied mathematics Engineering Modeling and Industrial Analysis Appl.Mathematics/Computational Methods of in Functions Clasificación: 51 Matemáticas Resumen: This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. A central theme of the book is the structure of various vector spaces—most importantly, Hilbert spaces—and expansions of elements in these spaces in terms of bases. Key topics and features include: * More than 150 exercises * Abstract and normed vector spaces * Approximation in normed vector spaces * Hilbert and Banach spaces * General bases and orthonormal bases * Linear operators on various normed spaces * The Fourier transform, including the discrete Fourier transform * Wavelets and multiresolution analysis * B-splines * Sturm–Liouville problems As a textbook that provides a deep understanding of central issues in mathematical analysis, Functions, Spaces, and Expansions is intended for graduate students, researchers, and practitioners in applied mathematics, physics, and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required. Functions, Spaces, and Expansions is the main textbook for the e-course Mathematics 4: Real Analysis currently being taught at the Technical University of Denmark. Please click the "Course Materials" link on the right to access videos of the lectures, problem sheets, and solutions to selected exercises Nota de contenido: Mathematical Background -- Normed Vector Spaces -- Banach Spaces -- Hilbert Spaces -- The Lp-spaces -- The Hilbert Space L2 -- The Fourier Transform -- An Introduction to Wavelet Analysis -- A Closer Look at Multiresolution Analysis -- B-splines -- Special Functions -- Appendix A -- Appendix B En línea: http://dx.doi.org/10.1007/978-0-8176-4980-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33564 Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering [documento electrónico] / Ole Christensen ; SpringerLink (Online service) . - Boston : Birkhäuser Boston, 2010 . - XIX, 266 p. 9 illus : online resource. - (Applied and Numerical Harmonic Analysis) .
ISBN : 978-0-8176-4980-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Fourier analysis Functional Special functions Mathematical models Physics Applied mathematics Engineering Modeling and Industrial Analysis Appl.Mathematics/Computational Methods of in Functions Clasificación: 51 Matemáticas Resumen: This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. A central theme of the book is the structure of various vector spaces—most importantly, Hilbert spaces—and expansions of elements in these spaces in terms of bases. Key topics and features include: * More than 150 exercises * Abstract and normed vector spaces * Approximation in normed vector spaces * Hilbert and Banach spaces * General bases and orthonormal bases * Linear operators on various normed spaces * The Fourier transform, including the discrete Fourier transform * Wavelets and multiresolution analysis * B-splines * Sturm–Liouville problems As a textbook that provides a deep understanding of central issues in mathematical analysis, Functions, Spaces, and Expansions is intended for graduate students, researchers, and practitioners in applied mathematics, physics, and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required. Functions, Spaces, and Expansions is the main textbook for the e-course Mathematics 4: Real Analysis currently being taught at the Technical University of Denmark. Please click the "Course Materials" link on the right to access videos of the lectures, problem sheets, and solutions to selected exercises Nota de contenido: Mathematical Background -- Normed Vector Spaces -- Banach Spaces -- Hilbert Spaces -- The Lp-spaces -- The Hilbert Space L2 -- The Fourier Transform -- An Introduction to Wavelet Analysis -- A Closer Look at Multiresolution Analysis -- B-splines -- Special Functions -- Appendix A -- Appendix B En línea: http://dx.doi.org/10.1007/978-0-8176-4980-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33564 Ejemplares
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Título : Functions of a-Bounded Type in the Half-Plane Tipo de documento: documento electrónico Autores: Armen M. Jerbashian ; SpringerLink (Online service) Editorial: Boston, MA : Springer US Fecha de publicación: 2005 Colección: Advances in Complex Analysis and Its Applications num. 4 Número de páginas: XVI, 196 p Il.: online resource ISBN/ISSN/DL: 978-0-387-23626-1 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables Operator theory a Complex Variable Theory Clasificación: 51 Matemáticas Resumen: This is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator. In addition, the book contains improvements of several results such as the Phragmen-Lindelof Principle and Nevanlinna Factorization in the Half-Plane, and offers a new, equivalent definition of the classical Hardy spaces in the half-plane. The last chapter of the book presents an application of the constructed theory as well as M.M.Djrbashian’s theory of Nevanlinna type classes in the disc in the spectral theory of linear operators. This is a solution of a problem repeatedly stated by M.G.Krein and being of special interest for a long time. Audience The book is proposed for a wide range of readers. Some of its parts are comprehensible for graduate students, while the book in the whole is intended for new researchers and qualified specialists in the field Nota de contenido: The Liouville Operator and Herglotz-Riesz Type Theorems -- Blaschke Type Products -- Equilibrium Relations and Factorizations -- Meromorphic Functions with Summable Tsuji Characteristics -- Boundary Values -- Uniform Approximations -- Subharmonic Functions with Nonnegative Harmonic Majorants -- Weighted Classes of Subharmonic Functions -- Functions of ?-Bounded Type in Spectral Theory of Non-Weak Contractions En línea: http://dx.doi.org/10.1007/b102102 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35073 Functions of a-Bounded Type in the Half-Plane [documento electrónico] / Armen M. Jerbashian ; SpringerLink (Online service) . - Boston, MA : Springer US, 2005 . - XVI, 196 p : online resource. - (Advances in Complex Analysis and Its Applications; 4) .
ISBN : 978-0-387-23626-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables Operator theory a Complex Variable Theory Clasificación: 51 Matemáticas Resumen: This is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator. In addition, the book contains improvements of several results such as the Phragmen-Lindelof Principle and Nevanlinna Factorization in the Half-Plane, and offers a new, equivalent definition of the classical Hardy spaces in the half-plane. The last chapter of the book presents an application of the constructed theory as well as M.M.Djrbashian’s theory of Nevanlinna type classes in the disc in the spectral theory of linear operators. This is a solution of a problem repeatedly stated by M.G.Krein and being of special interest for a long time. Audience The book is proposed for a wide range of readers. Some of its parts are comprehensible for graduate students, while the book in the whole is intended for new researchers and qualified specialists in the field Nota de contenido: The Liouville Operator and Herglotz-Riesz Type Theorems -- Blaschke Type Products -- Equilibrium Relations and Factorizations -- Meromorphic Functions with Summable Tsuji Characteristics -- Boundary Values -- Uniform Approximations -- Subharmonic Functions with Nonnegative Harmonic Majorants -- Weighted Classes of Subharmonic Functions -- Functions of ?-Bounded Type in Spectral Theory of Non-Weak Contractions En línea: http://dx.doi.org/10.1007/b102102 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35073 Ejemplares
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Título : Functions de variable réelle Tipo de documento: documento electrónico Autores: N. Bourbaki ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2007 Número de páginas: 334 p Il.: online resource ISBN/ISSN/DL: 978-3-540-34038-6 Idioma : Francés (fre) Palabras clave: Mathematics Functions of real variables Real Clasificación: 51 Matemáticas Resumen: Fonctions d'une variable réelle Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce Livre est le quatrième du traité ; il est consacré aux bases de l’analyse réelle. Il comprend les chapitres : Dérivées ; Primitives et intégrales ; Fonctions élémentaires ; Équations différentielles ; Étude locale des fonctions ; Développements tayloriens généralisés. Formule sommatoire d’Euler-Maclaurin ; La function gamma. Il contient également des notes historiques. Ce volume est une réimpression de l’édition de 1976 Nota de contenido: Dérivées -- Primitives et intégrales -- Fonctions élémentaires -- Équations diffentielles -- Etude locale des fonctions -- Développements tayloriens généralisés Formule sommatoire d'Euler-Maclaurin -- La fonction gamma En línea: http://dx.doi.org/10.1007/978-3-540-34038-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34604 Functions de variable réelle [documento electrónico] / N. Bourbaki ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2007 . - 334 p : online resource.
ISBN : 978-3-540-34038-6
Idioma : Francés (fre)
Palabras clave: Mathematics Functions of real variables Real Clasificación: 51 Matemáticas Resumen: Fonctions d'une variable réelle Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce Livre est le quatrième du traité ; il est consacré aux bases de l’analyse réelle. Il comprend les chapitres : Dérivées ; Primitives et intégrales ; Fonctions élémentaires ; Équations différentielles ; Étude locale des fonctions ; Développements tayloriens généralisés. Formule sommatoire d’Euler-Maclaurin ; La function gamma. Il contient également des notes historiques. Ce volume est une réimpression de l’édition de 1976 Nota de contenido: Dérivées -- Primitives et intégrales -- Fonctions élémentaires -- Équations diffentielles -- Etude locale des fonctions -- Développements tayloriens généralisés Formule sommatoire d'Euler-Maclaurin -- La fonction gamma En línea: http://dx.doi.org/10.1007/978-3-540-34038-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34604 Ejemplares
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Título : Analysis II : Differential and Integral Calculus, Fourier Series, Holomorphic Functions Tipo de documento: documento electrónico Autores: Roger Godement ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2005 Colección: Universitext, ISSN 0172-5939 Número de páginas: VII, 448 p. 20 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-29926-4 Idioma : Inglés (eng) Palabras clave: Mathematics Measure theory Functions of real variables Real and Integration Clasificación: 51 Matemáticas Resumen: Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English Nota de contenido: Differential and Integral Calculus -- The Riemann Integral -- Integrability Conditions -- The “Fundamental Theorem” (FT) -- Integration by parts -- Taylor’s Formula -- The change of variable formula -- Generalised Riemann integrals -- Approximation Theorems -- Radon measures in ? or ? -- Schwartz distributions -- Asymptotic Analysis -- Truncated expansions -- Summation formulae -- Harmonic Analysis and Holomorphic Functions -- Analysis on the unit circle -- Elementary theorems on Fourier series -- Dirichlet’s method -- Analytic and holomorphic functions -- Harmonic functions and Fourier series -- From Fourier series to integrals En línea: http://dx.doi.org/10.1007/3-540-29926-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35309 Analysis II : Differential and Integral Calculus, Fourier Series, Holomorphic Functions [documento electrónico] / Roger Godement ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2005 . - VII, 448 p. 20 illus : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-3-540-29926-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Measure theory Functions of real variables Real and Integration Clasificación: 51 Matemáticas Resumen: Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English Nota de contenido: Differential and Integral Calculus -- The Riemann Integral -- Integrability Conditions -- The “Fundamental Theorem” (FT) -- Integration by parts -- Taylor’s Formula -- The change of variable formula -- Generalised Riemann integrals -- Approximation Theorems -- Radon measures in ? or ? -- Schwartz distributions -- Asymptotic Analysis -- Truncated expansions -- Summation formulae -- Harmonic Analysis and Holomorphic Functions -- Analysis on the unit circle -- Elementary theorems on Fourier series -- Dirichlet’s method -- Analytic and holomorphic functions -- Harmonic functions and Fourier series -- From Fourier series to integrals En línea: http://dx.doi.org/10.1007/3-540-29926-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35309 Ejemplares
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Título : An Atlas of Functions : with Equator, the Atlas Function Calculator Tipo de documento: documento electrónico Autores: Keit Oldham ; SpringerLink (Online service) ; Jan Myland ; Jerome Spanier Editorial: New York, NY : Springer US Fecha de publicación: 2009 Número de páginas: XI, 750 p Il.: online resource ISBN/ISSN/DL: 978-0-387-48807-3 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of real variables Special functions Applied mathematics Engineering Physics Computational intelligence Applications Real Theoretical, Mathematical and Intelligence Clasificación: 51 Matemáticas Resumen: This second edition of An Atlas of Functions, with Equator, the Atlas Function Calculator, provides comprehensive information on several hundred functions or function families of interest to scientists, engineers and mathematicians who are concerned with the quantitative aspects of their field. Beginning with simple integer-valued functions, the book progresses to polynomials, exponential, trigonometric, Bessel, and hypergeometric functions, and many more. The 65 chapters are arranged roughly in order of increasing complexity, mathematical sophistication being kept to a minimum while stressing utility throughout. In addition to providing definitions and simple properties for every function, each chapter catalogs more complex interrelationships as well as the derivatives, integrals, Laplace transforms and other characteristics of the function. Numerous color figures in two- or three- dimensions depict their shape and qualitative features and flesh out the reader’s familiarity with the functions. In many instances, the chapter concludes with a concise exposition on a topic in applied mathematics associated with the particular function or function family. Features that make the Atlas an invaluable reference tool, yet simple to use, include: full coverage of those functions—elementary and "special”—that meet everyday needs a standardized chapter format, making it easy to locate needed information on such aspects as: nomenclature, general behavior, definitions, intrarelationships, expansions, approximations, limits, and response to operations of the calculus extensive cross-referencing and comprehensive indexing, with useful appendices the inclusion of innovative software--Equator, the Atlas Function Calculator the inclusion of new material dealing with interesting applications of many of the function families, building upon the favorable responses to similar material in the first edition Nota de contenido: General Considerations -- The Constant Function c -- The Factorial Function n! -- The Zeta Numbers and Related Functions -- The Bernoulli Numbers B n -- The Euler Numbers E n -- The Binomial Coefficients -- The Linear Function bx + c and Its Reciprocal -- Modifying Functions -- The Heaviside u(x?a) And Dirac ?(x?a) Functions -- The Integer Powers x n And (bx+c) n -- The Square-Root Function and Its Reciprocal -- The Noninteger Powers x v -- The Semielliptic Function and Its Reciprocal -- The Semihyperbolic Functions And Their Reciprocals -- The Quadratic Function ax 2+bx+c and Its Reciprocal -- The Cubic Function x 3 + ax 2 + bx + c -- Polynomial Functions -- The Pochhammer Polynomials (x) n -- The Bernoulli Polynomials B n (x) -- The Euler Polynomials E n (x) -- The Legendre Polynomials P n (x) -- The Chebyshev Polynomials T n (x) and U n (x) -- The Laguerre Polynomials L n (x) -- The Hermite Polynomials H n (x) -- The Logarithmic Function ln(x) -- The Exponential Function exp(+x) -- Exponentials of Powers exp(+ x v ) -- The Hyperbolic Cosine Cosh(x) and Sine Sinh(x) Functions -- The Hyperbolic Secant Sech(x) and Cosecant Csch(x) Functions -- The Hyperbolic Tangent tanh(x) and Cotangent coth(x) Functions -- The Inverse Hyperbolic Functions -- The Cosine cos(x) and Sine sin(x) Functions -- The Secant sec(x) And cosecant csc(x) Functions -- The Tangent tan(x) and Cotangent cot(x) Functions -- The Inverse Circular Functions -- Periodic Functions -- The Exponential Integrals Ei(x) and Ein(x) -- Sine and Cosine Integrals -- The Fresnel Integrals C(x) and S(x) -- The Error Function erf(x) and Its Complement erfc(x) -- The and Related Functions -- Dawson’s Integral daw(x) -- The Gamma Function ?(v) -- The Digamma Function ?(v) -- The Incomplete Gamma Functions -- The Parabolic Cylinder Function D v (x) -- The Kummer Function M(a,c,x) -- The Tricomi Function U(a,c,x) -- The Modified Bessel Functions I n (x) of Integer Order -- The Modified Bessel Function I v (x) of Arbitrary Order -- The Macdonald Function K v (x) -- The Bessel Functions J n (x) of Integer Order -- The Bessel Function J v (x) of Arbitrary Order -- The Neumann Function Y v (x) -- The Kelvin Functions -- The Airy Functions Ai(x) and Bi(x) -- The Struve Function h v (x) -- The Incomplete Beta Function B(v,?,x) -- The Legendre Functions P v (x) and Q v (x) -- The Gauss Hypergeometric Function F(a,b,c,x) -- The Complete Elliptic Integrals K(k) and E(k) -- The Incomplete Elliptic Integrals F(k,?) AND E(k,?) -- The Jacobian Elliptic Functions -- The Hurwitz Function ?(v, u) En línea: http://dx.doi.org/10.1007/978-0-387-48807-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33834 An Atlas of Functions : with Equator, the Atlas Function Calculator [documento electrónico] / Keit Oldham ; SpringerLink (Online service) ; Jan Myland ; Jerome Spanier . - New York, NY : Springer US, 2009 . - XI, 750 p : online resource.
ISBN : 978-0-387-48807-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of real variables Special functions Applied mathematics Engineering Physics Computational intelligence Applications Real Theoretical, Mathematical and Intelligence Clasificación: 51 Matemáticas Resumen: This second edition of An Atlas of Functions, with Equator, the Atlas Function Calculator, provides comprehensive information on several hundred functions or function families of interest to scientists, engineers and mathematicians who are concerned with the quantitative aspects of their field. Beginning with simple integer-valued functions, the book progresses to polynomials, exponential, trigonometric, Bessel, and hypergeometric functions, and many more. The 65 chapters are arranged roughly in order of increasing complexity, mathematical sophistication being kept to a minimum while stressing utility throughout. In addition to providing definitions and simple properties for every function, each chapter catalogs more complex interrelationships as well as the derivatives, integrals, Laplace transforms and other characteristics of the function. Numerous color figures in two- or three- dimensions depict their shape and qualitative features and flesh out the reader’s familiarity with the functions. In many instances, the chapter concludes with a concise exposition on a topic in applied mathematics associated with the particular function or function family. Features that make the Atlas an invaluable reference tool, yet simple to use, include: full coverage of those functions—elementary and "special”—that meet everyday needs a standardized chapter format, making it easy to locate needed information on such aspects as: nomenclature, general behavior, definitions, intrarelationships, expansions, approximations, limits, and response to operations of the calculus extensive cross-referencing and comprehensive indexing, with useful appendices the inclusion of innovative software--Equator, the Atlas Function Calculator the inclusion of new material dealing with interesting applications of many of the function families, building upon the favorable responses to similar material in the first edition Nota de contenido: General Considerations -- The Constant Function c -- The Factorial Function n! -- The Zeta Numbers and Related Functions -- The Bernoulli Numbers B n -- The Euler Numbers E n -- The Binomial Coefficients -- The Linear Function bx + c and Its Reciprocal -- Modifying Functions -- The Heaviside u(x?a) And Dirac ?(x?a) Functions -- The Integer Powers x n And (bx+c) n -- The Square-Root Function and Its Reciprocal -- The Noninteger Powers x v -- The Semielliptic Function and Its Reciprocal -- The Semihyperbolic Functions And Their Reciprocals -- The Quadratic Function ax 2+bx+c and Its Reciprocal -- The Cubic Function x 3 + ax 2 + bx + c -- Polynomial Functions -- The Pochhammer Polynomials (x) n -- The Bernoulli Polynomials B n (x) -- The Euler Polynomials E n (x) -- The Legendre Polynomials P n (x) -- The Chebyshev Polynomials T n (x) and U n (x) -- The Laguerre Polynomials L n (x) -- The Hermite Polynomials H n (x) -- The Logarithmic Function ln(x) -- The Exponential Function exp(+x) -- Exponentials of Powers exp(+ x v ) -- The Hyperbolic Cosine Cosh(x) and Sine Sinh(x) Functions -- The Hyperbolic Secant Sech(x) and Cosecant Csch(x) Functions -- The Hyperbolic Tangent tanh(x) and Cotangent coth(x) Functions -- The Inverse Hyperbolic Functions -- The Cosine cos(x) and Sine sin(x) Functions -- The Secant sec(x) And cosecant csc(x) Functions -- The Tangent tan(x) and Cotangent cot(x) Functions -- The Inverse Circular Functions -- Periodic Functions -- The Exponential Integrals Ei(x) and Ein(x) -- Sine and Cosine Integrals -- The Fresnel Integrals C(x) and S(x) -- The Error Function erf(x) and Its Complement erfc(x) -- The and Related Functions -- Dawson’s Integral daw(x) -- The Gamma Function ?(v) -- The Digamma Function ?(v) -- The Incomplete Gamma Functions -- The Parabolic Cylinder Function D v (x) -- The Kummer Function M(a,c,x) -- The Tricomi Function U(a,c,x) -- The Modified Bessel Functions I n (x) of Integer Order -- The Modified Bessel Function I v (x) of Arbitrary Order -- The Macdonald Function K v (x) -- The Bessel Functions J n (x) of Integer Order -- The Bessel Function J v (x) of Arbitrary Order -- The Neumann Function Y v (x) -- The Kelvin Functions -- The Airy Functions Ai(x) and Bi(x) -- The Struve Function h v (x) -- The Incomplete Beta Function B(v,?,x) -- The Legendre Functions P v (x) and Q v (x) -- The Gauss Hypergeometric Function F(a,b,c,x) -- The Complete Elliptic Integrals K(k) and E(k) -- The Incomplete Elliptic Integrals F(k,?) AND E(k,?) -- The Jacobian Elliptic Functions -- The Hurwitz Function ?(v, u) En línea: http://dx.doi.org/10.1007/978-0-387-48807-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33834 Ejemplares
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