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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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Lectures on Orthogonal Polynomials and Special Functions

, elliptic hypergeometric functions, and combinatorics of orthogonal polynomials. Exercises, examples and some open problems are provided. The volume;

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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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Basic Hypergeometric Series

account of the rapidly growing field of basic hypergeometric series, or q-series. Simplicity, clarity, deductive proofs, thoughtfully designed;

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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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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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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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Special Functions

century results are included. Other topics include q-extensions of beta integrals and of hypergeometric series, Bailey chains, spherical harmonics;

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Special Functions

century results are included. Other topics include q-extensions of beta integrals and of hypergeometric series, Bailey chains, spherical harmonics;

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Special Functions and Orthogonal Polynomials

subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which;

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

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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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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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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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Applications and Computation of Orthogonal Polynomials

This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation;

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Orthogonal Polynomials

of orthogonal polynomials and their computation, a new discussion of modification algorithms, and the generation of Sobolev orthogonal polynomials. The;

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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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Orthogonal Polynomials

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

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Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other;

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A Comprehensive Treatment of q-Calculus

clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q;

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Special Functions

material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part;

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Introduction To The Theory Of Weighted Polynomial Approximation

also help to have studied elementary trigonometric approximation theory, and have some exposure to orthogonal polynomials.;

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Ordinary Differential Equations

, and the more common orthogonal polynomials, from their defining differential equations and boundary conditions. Contains several hundred;

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