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Título : Advanced Multivariate Statistics with Matrices Tipo de documento: documento electrónico Autores: Tõnu Kollo ; SpringerLink (Online service) ; Dietrich von Rosen ; Michiel Hazewinkel Editorial: Dordrecht : Springer Netherlands Fecha de publicación: 2005 Colección: Mathematics and Its Applications num. 579 Número de páginas: XVI, 490 p Il.: online resource ISBN/ISSN/DL: 978-1-4020-3419-0 Idioma : Inglés (eng) Palabras clave: Statistics Matrix theory Algebra Approximation Statistical Theory and Methods Linear Multilinear Algebras, Approximations Expansions Clasificación: 51 Matemáticas Resumen: The book presents important tools and techniques for treating problems in m- ern multivariate statistics in a systematic way. The ambition is to indicate new directions as well as to present the classical part of multivariate statistical analysis in this framework. The book has been written for graduate students and statis- cians who are not afraid of matrix formalism. The goal is to provide them with a powerful toolkit for their research and to give necessary background and deeper knowledge for further studies in di?erent areas of multivariate statistics. It can also be useful for researchers in applied mathematics and for people working on data analysis and data mining who can ?nd useful methods and ideas for solving their problems. Ithasbeendesignedasatextbookforatwosemestergraduatecourseonmultiva- ate statistics. Such a course has been held at the Swedish Agricultural University in 2001/02. On the other hand, it can be used as material for series of shorter courses. In fact, Chapters 1 and 2 have been used for a graduate course ”Matrices in Statistics” at University of Tartu for the last few years, and Chapters 2 and 3 formed the material for the graduate course ”Multivariate Asymptotic Statistics” in spring 2002. An advanced course ”Multivariate Linear Models” may be based on Chapter 4. A lot of literature is available on multivariate statistical analysis written for di?- ent purposes and for people with di?erent interests, background and knowledge Nota de contenido: Basic Matrix Theory and Linear Algebra -- Multivariate Distributions -- Distribution Expansions -- Multivariate Linear Models En línea: http://dx.doi.org/10.1007/1-4020-3419-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35213 Advanced Multivariate Statistics with Matrices [documento electrónico] / Tõnu Kollo ; SpringerLink (Online service) ; Dietrich von Rosen ; Michiel Hazewinkel . - Dordrecht : Springer Netherlands, 2005 . - XVI, 490 p : online resource. - (Mathematics and Its Applications; 579) .
ISBN : 978-1-4020-3419-0
Idioma : Inglés (eng)
Palabras clave: Statistics Matrix theory Algebra Approximation Statistical Theory and Methods Linear Multilinear Algebras, Approximations Expansions Clasificación: 51 Matemáticas Resumen: The book presents important tools and techniques for treating problems in m- ern multivariate statistics in a systematic way. The ambition is to indicate new directions as well as to present the classical part of multivariate statistical analysis in this framework. The book has been written for graduate students and statis- cians who are not afraid of matrix formalism. The goal is to provide them with a powerful toolkit for their research and to give necessary background and deeper knowledge for further studies in di?erent areas of multivariate statistics. It can also be useful for researchers in applied mathematics and for people working on data analysis and data mining who can ?nd useful methods and ideas for solving their problems. Ithasbeendesignedasatextbookforatwosemestergraduatecourseonmultiva- ate statistics. Such a course has been held at the Swedish Agricultural University in 2001/02. On the other hand, it can be used as material for series of shorter courses. In fact, Chapters 1 and 2 have been used for a graduate course ”Matrices in Statistics” at University of Tartu for the last few years, and Chapters 2 and 3 formed the material for the graduate course ”Multivariate Asymptotic Statistics” in spring 2002. An advanced course ”Multivariate Linear Models” may be based on Chapter 4. A lot of literature is available on multivariate statistical analysis written for di?- ent purposes and for people with di?erent interests, background and knowledge Nota de contenido: Basic Matrix Theory and Linear Algebra -- Multivariate Distributions -- Distribution Expansions -- Multivariate Linear Models En línea: http://dx.doi.org/10.1007/1-4020-3419-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35213 Ejemplares
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Título : From Calculus to Analysis Tipo de documento: documento electrónico Autores: Schinazi, Rinaldo B ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Número de páginas: X, 250 p. 7 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8289-7 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Approximation theory Measure Sequences Sequences, Series, Summability Approximations and Expansions Integration Clasificación: 51 Matemáticas Resumen: This comprehensive textbook is intended for a two-semester sequence in analysis. The first four chapters present a practical introduction to analysis by using the tools and concepts of calculus. The last five chapters present a first course in analysis. The presentation is clear and concise, allowing students to master the calculus tools that are crucial in understanding analysis. Key features: * Contains numerous exercises; * Provides unique examples, such as many ways to estimate the number Pi; * Introduces the basic principles of analysis; * Offers a straightforward introduction to the calculus basics such as number systems, sequences, and series; * Carefully written book with a thoughtful perspective for students. From Calculus to Analysis prepares readers for their first analysis course—important because many undergraduate programs traditionally require such a course. Undergraduates and some advanced high-school seniors will find this text a useful and pleasant experience in the classroom or as a self-study guide. The only prerequisite is a standard calculus course Nota de contenido: Preface -- Ch. 1 Number Systems -- 1.1 The algebra of the reals -- 1.2 Natural numbers and integers -- .1.3 Rational numbers and real numbers -- 1.4 Power functions -- Ch. 2 Sequences and Series -- 2.1 Sequences -- 2.2 Montone sequences, Bolzano-Weirestrass theorem and operations on limits -- 2.3 Series -- 2.4 Absolute convergence -- Ch. 3 Power series and special functions.-3.1 Power series.-3.2 Tigonometric functions -- 3.3 Inverse trigonometric functions -- 3.4 Exponential and logarithmic functions -- Ch 4 Fifty Ways to Estimate the Number pi.-4.1 Power series expansions -- 4.2 Wallis' integrals, Euler's formula, and Stirling's formula.-4.3 Convergence of infinite products -- 4.4 The number pi is irrational -- Ch. 5 Continuity, Limits, and Differentiation -- 5.1 Continuity -- 5.2 Limits of functions and derivatives -- 5.3 Algebra of derivatives and mean value theorems -- 5.4 Intervals, continuity, and inverse functions -- Ch. 6 Riemann Integration -- 6.1 Construction of the integral -- 6.2 Properties of the integral -- 6.3 Uniform continuity -- Ch 7 Decimal Represenation of Numbers -- Ch 8 Countable and Uncountable Sets -- Further Readings -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8289-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32685 From Calculus to Analysis [documento electrónico] / Schinazi, Rinaldo B ; SpringerLink (Online service) . - Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2012 . - X, 250 p. 7 illus : online resource.
ISBN : 978-0-8176-8289-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Approximation theory Measure Sequences Sequences, Series, Summability Approximations and Expansions Integration Clasificación: 51 Matemáticas Resumen: This comprehensive textbook is intended for a two-semester sequence in analysis. The first four chapters present a practical introduction to analysis by using the tools and concepts of calculus. The last five chapters present a first course in analysis. The presentation is clear and concise, allowing students to master the calculus tools that are crucial in understanding analysis. Key features: * Contains numerous exercises; * Provides unique examples, such as many ways to estimate the number Pi; * Introduces the basic principles of analysis; * Offers a straightforward introduction to the calculus basics such as number systems, sequences, and series; * Carefully written book with a thoughtful perspective for students. From Calculus to Analysis prepares readers for their first analysis course—important because many undergraduate programs traditionally require such a course. Undergraduates and some advanced high-school seniors will find this text a useful and pleasant experience in the classroom or as a self-study guide. The only prerequisite is a standard calculus course Nota de contenido: Preface -- Ch. 1 Number Systems -- 1.1 The algebra of the reals -- 1.2 Natural numbers and integers -- .1.3 Rational numbers and real numbers -- 1.4 Power functions -- Ch. 2 Sequences and Series -- 2.1 Sequences -- 2.2 Montone sequences, Bolzano-Weirestrass theorem and operations on limits -- 2.3 Series -- 2.4 Absolute convergence -- Ch. 3 Power series and special functions.-3.1 Power series.-3.2 Tigonometric functions -- 3.3 Inverse trigonometric functions -- 3.4 Exponential and logarithmic functions -- Ch 4 Fifty Ways to Estimate the Number pi.-4.1 Power series expansions -- 4.2 Wallis' integrals, Euler's formula, and Stirling's formula.-4.3 Convergence of infinite products -- 4.4 The number pi is irrational -- Ch. 5 Continuity, Limits, and Differentiation -- 5.1 Continuity -- 5.2 Limits of functions and derivatives -- 5.3 Algebra of derivatives and mean value theorems -- 5.4 Intervals, continuity, and inverse functions -- Ch. 6 Riemann Integration -- 6.1 Construction of the integral -- 6.2 Properties of the integral -- 6.3 Uniform continuity -- Ch 7 Decimal Represenation of Numbers -- Ch 8 Countable and Uncountable Sets -- Further Readings -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8289-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32685 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group / Valery V. Volchkov (2009)
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Título : Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group Tipo de documento: documento electrónico Autores: Valery V. Volchkov ; SpringerLink (Online service) ; Vitaly V. Volchkov Editorial: London : Springer London Fecha de publicación: 2009 Colección: Springer Monographs in Mathematics, ISSN 1439-7382 Número de páginas: XI, 671 p Il.: online resource ISBN/ISSN/DL: 978-1-84882-533-8 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Approximation theory Fourier Functional Integral equations Special functions Equations Functions Approximations and Expansions Clasificación: 51 Matemáticas Resumen: This book presents the first systematic and unified treatment of the theory of mean periodic functions on homogeneous spaces. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to harmonic analysis, complex analysis, integral geometry, and analysis on symmetric spaces. The main purpose of this book is the study of local aspects of spectral analysis and spectral synthesis on Euclidean spaces, Riemannian symmetric spaces of an arbitrary rank and Heisenberg groups. The subject can be viewed as arising from three classical topics: John's support theorem, Schwartz's fundamental principle, and Delsarte's two-radii theorem. Highly topical, the book contains most of the significant recent results in this area with complete and detailed proofs. In order to make this book accessible to a wide audience, the authors have included an introductory section that develops analysis on symmetric spaces without the use of Lie theory. Challenging open problems are described and explained, and promising new research directions are indicated. Designed for both experts and beginners in the field, the book is rich in methods for a wide variety of problems in many areas of mathematics Nota de contenido: Symmetric Spaces. Harmonic Analysis on Spheres -- General Considerations -- Analogues of the Beltrami–Klein Model for Rank One Symmetric Spaces of Noncompact Type -- Realizations of Rank One Symmetric Spaces of Compact Type -- Realizations of the Irreducible Components of the Quasi-Regular Representation of Groups Transitive on Spheres. Invariant Subspaces -- Non-Euclidean Analogues of Plane Waves -- Transformations with Generalized Transmutation Property Associated with Eigenfunctions Expansions -- Preliminaries -- Some Special Functions -- Exponential Expansions -- Multidimensional Euclidean Case -- The Case of Symmetric Spaces X=G/K of Noncompact Type -- The Case of Compact Symmetric Spaces -- The Case of Phase Space -- Mean Periodicity -- Mean Periodic Functions on Subsets of the Real Line -- Mean Periodic Functions on Multidimensional Domains -- Mean Periodic Functions on G/K -- Mean Periodic Functions on Compact Symmetric Spaces of Rank One -- Mean Periodicity on Phase Space and the Heisenberg Group -- Local Aspects of Spectral Analysis and the Exponential Representation Problem -- A New Look at the Schwartz Theory -- Recent Developments in the Spectral Analysis Problem for Higher Dimensions -- ????(X) Spectral Analysis on Domains of Noncompact Symmetric Spaces of Arbitrary Rank -- Spherical Spectral Analysis on Subsets of Compact Symmetric Spaces En línea: http://dx.doi.org/10.1007/978-1-84882-533-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33986 Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group [documento electrónico] / Valery V. Volchkov ; SpringerLink (Online service) ; Vitaly V. Volchkov . - London : Springer London, 2009 . - XI, 671 p : online resource. - (Springer Monographs in Mathematics, ISSN 1439-7382) .
ISBN : 978-1-84882-533-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Approximation theory Fourier Functional Integral equations Special functions Equations Functions Approximations and Expansions Clasificación: 51 Matemáticas Resumen: This book presents the first systematic and unified treatment of the theory of mean periodic functions on homogeneous spaces. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to harmonic analysis, complex analysis, integral geometry, and analysis on symmetric spaces. The main purpose of this book is the study of local aspects of spectral analysis and spectral synthesis on Euclidean spaces, Riemannian symmetric spaces of an arbitrary rank and Heisenberg groups. The subject can be viewed as arising from three classical topics: John's support theorem, Schwartz's fundamental principle, and Delsarte's two-radii theorem. Highly topical, the book contains most of the significant recent results in this area with complete and detailed proofs. In order to make this book accessible to a wide audience, the authors have included an introductory section that develops analysis on symmetric spaces without the use of Lie theory. Challenging open problems are described and explained, and promising new research directions are indicated. Designed for both experts and beginners in the field, the book is rich in methods for a wide variety of problems in many areas of mathematics Nota de contenido: Symmetric Spaces. Harmonic Analysis on Spheres -- General Considerations -- Analogues of the Beltrami–Klein Model for Rank One Symmetric Spaces of Noncompact Type -- Realizations of Rank One Symmetric Spaces of Compact Type -- Realizations of the Irreducible Components of the Quasi-Regular Representation of Groups Transitive on Spheres. Invariant Subspaces -- Non-Euclidean Analogues of Plane Waves -- Transformations with Generalized Transmutation Property Associated with Eigenfunctions Expansions -- Preliminaries -- Some Special Functions -- Exponential Expansions -- Multidimensional Euclidean Case -- The Case of Symmetric Spaces X=G/K of Noncompact Type -- The Case of Compact Symmetric Spaces -- The Case of Phase Space -- Mean Periodicity -- Mean Periodic Functions on Subsets of the Real Line -- Mean Periodic Functions on Multidimensional Domains -- Mean Periodic Functions on G/K -- Mean Periodic Functions on Compact Symmetric Spaces of Rank One -- Mean Periodicity on Phase Space and the Heisenberg Group -- Local Aspects of Spectral Analysis and the Exponential Representation Problem -- A New Look at the Schwartz Theory -- Recent Developments in the Spectral Analysis Problem for Higher Dimensions -- ????(X) Spectral Analysis on Domains of Noncompact Symmetric Spaces of Arbitrary Rank -- Spherical Spectral Analysis on Subsets of Compact Symmetric Spaces En línea: http://dx.doi.org/10.1007/978-1-84882-533-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33986 Ejemplares
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Título : Overconvergence in Complex Approximation Tipo de documento: documento electrónico Autores: Sorin G. Gal ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Número de páginas: XIV, 194 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-7098-4 Idioma : Inglés (eng) Palabras clave: Mathematics Approximation theory Functions of complex variables Approximations and Expansions a Complex Variable Several Variables Analytic Spaces Clasificación: 51 Matemáticas Resumen: This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are presented. The main focus is on results for several q-Bernstein kind of operators with q > 1, when the geometric order of approximation 1/q^n is obtained not only in complex compact disks but also in quaternion compact disks and in other compact subsets of the complex plane. The focus then shifts to quantitative overconvergence and convolution overconvergence results for the complex potentials generated by the Beta and Gamma Euler's functions. Finally quantitative overconvergence results for the most classical orthogonal expansions (of Chebyshev, Legendre, Hermite, Laguerre and Gegenbauer kinds) attached to vector-valued functions are presented. Each chapter concludes with a notes and open problems section, thus providing stimulation for further research. An extensive bibliography and index complete the text. This book is suitable for researchers and graduate students working in complex approximation and its applications, mathematical analysis and numerical analysis Nota de contenido: Overconvergence in C of Some Bernstein-Type Operators -- Overconvergence and Convergence in C of Some Integral Convolutions -- Overconvergence in C of the Orthogonal Expansions En línea: http://dx.doi.org/10.1007/978-1-4614-7098-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32335 Overconvergence in Complex Approximation [documento electrónico] / Sorin G. Gal ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XIV, 194 p : online resource.
ISBN : 978-1-4614-7098-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Approximation theory Functions of complex variables Approximations and Expansions a Complex Variable Several Variables Analytic Spaces Clasificación: 51 Matemáticas Resumen: This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are presented. The main focus is on results for several q-Bernstein kind of operators with q > 1, when the geometric order of approximation 1/q^n is obtained not only in complex compact disks but also in quaternion compact disks and in other compact subsets of the complex plane. The focus then shifts to quantitative overconvergence and convolution overconvergence results for the complex potentials generated by the Beta and Gamma Euler's functions. Finally quantitative overconvergence results for the most classical orthogonal expansions (of Chebyshev, Legendre, Hermite, Laguerre and Gegenbauer kinds) attached to vector-valued functions are presented. Each chapter concludes with a notes and open problems section, thus providing stimulation for further research. An extensive bibliography and index complete the text. This book is suitable for researchers and graduate students working in complex approximation and its applications, mathematical analysis and numerical analysis Nota de contenido: Overconvergence in C of Some Bernstein-Type Operators -- Overconvergence and Convergence in C of Some Integral Convolutions -- Overconvergence in C of the Orthogonal Expansions En línea: http://dx.doi.org/10.1007/978-1-4614-7098-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32335 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Theory and Applications of Special Functions / SpringerLink (Online service) ; Mourad E. H. Ismail ; Erik Koelink (2005)
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Título : Theory and Applications of Special Functions : A Volume Dedicated to Mizan Rahman Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Mourad E. H. Ismail ; Erik Koelink Editorial: Boston, MA : Springer US Fecha de publicación: 2005 Colección: Developments in Mathematics, ISSN 1389-2177 num. 13 Número de páginas: XII, 491 p Il.: online resource ISBN/ISSN/DL: 978-0-387-24233-0 Idioma : Inglés (eng) Palabras clave: Mathematics Approximation theory Integral transforms Operational calculus Special functions Functions Approximations and Expansions Transforms, Calculus Clasificación: 51 Matemáticas Resumen: This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems Nota de contenido: Mizan Rahman, His Mathematics and Literary Writings -- On the Completeness of Sets of q-Bessel Functions J?(3)(x; q) -- a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities -- On a Generalized Gamma Convolution Related to the q-Calculus -- Ramanujan and Cranks -- The Saalschütz Chain Reactions and Multiple q-Series Transformations -- Painlevé Equations and Associated Polynomials -- Zeta Functions of Heisenberg Graphs over Finite Rings -- q-Analogues of Some Multivariable Biorthogonal Polynomials -- Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials -- Continuous Hahn Functions as Clebsch-Gordan Coefficients -- New Proofs of Some q-Series Results -- The Little q-Jacobi Functions of Complex Order -- A Second Addition Formula for Continuous q-Ultraspherical Polynomials -- A Bilateral Series Involving Basic Hypergeometric Functions -- The Hilbert Space Asymptotics of a Class of Orthonormal Polynomials on a Bounded Interval -- Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity -- Summable Sums of Hypergeometric Series -- Askey-Wilson Functions and Quantum Groups -- An Analog of the Cauchy-Hadamard Formula for Expansions in q-Polynomials -- Strong Nonnegative Linearization of Orthogonal Polynomials -- Remarks on Some Basic Hypergeometric Series En línea: http://dx.doi.org/10.1007/b104910 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35080 Theory and Applications of Special Functions : A Volume Dedicated to Mizan Rahman [documento electrónico] / SpringerLink (Online service) ; Mourad E. H. Ismail ; Erik Koelink . - Boston, MA : Springer US, 2005 . - XII, 491 p : online resource. - (Developments in Mathematics, ISSN 1389-2177; 13) .
ISBN : 978-0-387-24233-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Approximation theory Integral transforms Operational calculus Special functions Functions Approximations and Expansions Transforms, Calculus Clasificación: 51 Matemáticas Resumen: This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems Nota de contenido: Mizan Rahman, His Mathematics and Literary Writings -- On the Completeness of Sets of q-Bessel Functions J?(3)(x; q) -- a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities -- On a Generalized Gamma Convolution Related to the q-Calculus -- Ramanujan and Cranks -- The Saalschütz Chain Reactions and Multiple q-Series Transformations -- Painlevé Equations and Associated Polynomials -- Zeta Functions of Heisenberg Graphs over Finite Rings -- q-Analogues of Some Multivariable Biorthogonal Polynomials -- Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials -- Continuous Hahn Functions as Clebsch-Gordan Coefficients -- New Proofs of Some q-Series Results -- The Little q-Jacobi Functions of Complex Order -- A Second Addition Formula for Continuous q-Ultraspherical Polynomials -- A Bilateral Series Involving Basic Hypergeometric Functions -- The Hilbert Space Asymptotics of a Class of Orthonormal Polynomials on a Bounded Interval -- Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity -- Summable Sums of Hypergeometric Series -- Askey-Wilson Functions and Quantum Groups -- An Analog of the Cauchy-Hadamard Formula for Expansions in q-Polynomials -- Strong Nonnegative Linearization of Orthogonal Polynomials -- Remarks on Some Basic Hypergeometric Series En línea: http://dx.doi.org/10.1007/b104910 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35080 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar PermalinkPermalinkAdvances in Applied Mathematics and Approximation Theory / SpringerLink (Online service) ; George A. Anastassiou ; Oktay Duman (2013)
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