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Q-difference Operators, Orthogonal Polynomials and Symmetric Expansions

In this work, we explore ramifications and extensions of a $q$-difference operator method first used by L.J. Rogers for deriving;

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Hypergeometric Orthogonal Polynomials and Their q-Analogues

call all families in the (q-)Askey scheme classical orthogonal polynomials, and to call the Jacobi, Laguerre and Hermite polynomials very;

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Hilbert Space, Boundary Value Problems and Orthogonal Polynomials

to orthogonal polynomials and Sobolev differential operators. Written in textbook style this up-to-date volume is geared towards graduate and;

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Power Orthogonal Polynomials

The first chapter lists the basic results of orthogonal polynomials, Jacobi, Laguerre, and Hermite polynomials, and collects some;

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Frontiers In Orthogonal Polynomials And Q-series

This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number;

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Difference Equations, Special Functions And Orthogonal Polynomials - Proceedings Of The International Conference

and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as;

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Modern Trends in Constructive Function Theory

trigonometric moment problem, minimal Riesz energy, random polynomials, Pade and Hermite-Pade approximation, orthogonal expansions, hyperbolic;

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Lectures on Orthogonal Polynomials and Special Functions

separate areas at the forefront of modern research in orthogonal polynomials and special functions at a level suited to graduate students. A broad;

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Affine Hecke Algebras and Orthogonal Polynomials

In recent years there has developed a satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root;

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Orthogonal Polynomials in the Spectral Analysis of Markov Processes

analyzing orthogonal eigenfunctions of associated operators. In the decades since, many authors have extended and deepened this surprising;

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Modern Spherical Functions

symmetric pairs, spherical representations for compact symmetric pairs, the fundamental groups of compact symmetric spaces, and the radial part;

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Walter Gautschi

Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and;

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Continued Fractions and Orthogonal Functions

analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions.Uniting the research;

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Encyclopedia of Special Functions

. Volume 1 contains most of the material on orthogonal polynomials, from the classical orthogonal polynomials of Hermite, Laguerre and Jacobi to;

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Orthogonal Polynomials in Two Variables

Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials;

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Polynomials Orthogonal Over a Region and Bieberbach Polynomials

Polynomials Orthogonal Over a Region and Bieberbach Polynomials is een boek van P. K. Suetin;

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Orthogonal Polynomials

) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to;

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Approximation

polynomials, splines, and operators, and applications to stochastics; numerical methods for approximation of deterministic and stochastic integrals;

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Orthogonal Polynomials: 2nd Aims-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018

) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to;

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Coimbra Lecture Notes on Orthogonal Polynomials

Orthogonal Polynomials and Special Functions (OPSF) have a very rich history, going back to 19th century when mathematicians and physicists;

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Szego's Theorem and Its Descendants

treatment of orthogonal polynomials for measures supported on a finite number of intervals on the real line. In addition to the Szego and Killip;

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Discrete Orthogonal Polynomials. (AM-164)

This book describes the theory and applications of discrete orthogonal polynomials--polynomials that are orthogonal on a finite set. Unlike;

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Basic Hypergeometric Series

five are devoted to applications in various areas including Askey-Wilson integrals and orthogonal polynomials, partitions in number theory;

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Quantum Groups

With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the;

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Orthogonal Polynomials

This first detailed systematic treatment of orthogonal polynomials continues as a bestseller in the Colloquium Series;

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Orthogonal Polynomials and Painlevé Equations

There are a number of intriguing connections between Painleve equations and orthogonal polynomials, and this book is one of the first to;

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Orthogonal Polynomials and Continued Fractions

mathematician Euler. This book tells how Euler introduced the idea of orthogonal polynomials and combined the two subjects, and how Brouncker's formula;

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