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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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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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Special Functions and Orthogonal Polynomials

(308 Pages). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It;

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

common thread. Articles cover topics in difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries;

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Affine Hecke Algebras and Orthogonal Polynomials

systems, and depending on two or more parameters. These polynomials include as special cases: symmetric functions; zonal spherical functions on;

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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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Walter Gautschi

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

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Orthogonal Polynomials

contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on;

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Orthogonal Polynomials: Current Trends and Applications

, special functions, orthogonal polynomials and their applications among graduate students as well as young researchers from Latin America, Spain;

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Orthogonal Polynomials and Continued Fractions

of 1655 can be derived from Euler's efforts in Special Functions and Orthogonal Polynomials. The most interesting applications of this work are;

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

contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on;

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Wavelet Analysis on the Sphere

The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials 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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Special Functions and Orthogonal Polynomials

these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory;

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Orthogonal Polynomials in the Spectral Analysis of Markov Processes

students with a solid background in stochastic processes as well as researchers in orthogonal polynomials and special functions who want to learn;

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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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Classical and Quantum Orthogonal Polynomials in One Variable

The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Its;

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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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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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Encyclopedia of Mathematics and its Applications

, which will be especially useful for applications, and orthogonal polynomials on the unit sphere. The most modern and complete treatment of the;

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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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Frontiers In Orthogonal Polynomials And Q-series

the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the;

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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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Modern Trends in Constructive Function Theory

, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate;

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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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Orthogonal Polynomials and Random Matrices

This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random;

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Hypergeometric Orthogonal Polynomials and Their q-Analogues

, respectively. The fa- lies of orthogonal polynomials in these two schemes generalize the classical orth- onal polynomials (Jacobi, Laguerre and Hermite;

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