Lectures on Orthogonal Polynomials and Special Functions, Howard S. Cohl, Mourad E. H. Ismail

Автор: Van Assche Walter
Название: Orthogonal Polynomials and Painleve Equations
ISBN: 1108441947 ISBN-13(EAN): 9781108441940
Издательство: Cambridge Academ
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Цена: 40130.00 T
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Описание: The first detailed account of the relationships between Painleve equations and orthogonal polynomials. It gives clear examples as well as proofs, and there are exercises throughout to help the reader get comfortable with the material. Useful for researchers across both fields and anyone interested in integrable systems and non-linear equations.

Автор: Allan M. Krall
Название: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials
ISBN: 3034894597 ISBN-13(EAN): 9783034894593
Издательство: Springer
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Цена: 74530.00 T
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Описание: The following tract is divided into three parts: Hilbert spaces and their (bounded and unbounded) self-adjoint operators, linear Hamiltonian systemsand their scalar counterparts and their application to orthogonal polynomials.

Автор: Dunkl
Название: Orthogonal Polynomials of Several Variables
ISBN: 1107071895 ISBN-13(EAN): 9781107071896
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: Serving both as an introduction to the subject and as a reference, this book covers the general theory and emphasizes the classical types of orthogonal polynomials, or those of Gaussian type. Containing 25% brand new material, this revised edition reflects progress made in the field over the past decade.

Автор: Paul Nevai
Название: Orthogonal Polynomials
ISBN: 9401067112 ISBN-13(EAN): 9789401067119
Издательство: Springer
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Цена: 81050.00 T
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Описание: Proceedings of the NATO Advanced Study Institute on Orthogonal Polynomials and Their Applications, Columbus, Ohio, U.S.A., May 22-June 3, 1989

Автор: Walter Van Assche
Название: Asymptotics for Orthogonal Polynomials
ISBN: 3540180230 ISBN-13(EAN): 9783540180234
Издательство: Springer
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Цена: 37220.00 T
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Описание: Presents some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. This monograph provides an extensive treatment for orthogonal polynomials on a compact set and on an unbounded set.

Автор: Beals
Название: Special Functions and Orthogonal Polynomials
ISBN: 1107106982 ISBN-13(EAN): 9781107106987
Издательство: Cambridge Academ
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Цена: 79200.00 T
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Описание: This book provides a graduate-level introduction to special functions - a very active area of research and application. Emphasis is given to unifying aspects and to motivation, making it ideal for self-study, while its comprehensive coverage of standard and newer topics and its extensive bibliography also make it a valuable reference.

Автор: J. Arvesu, G. Lopez Lagomasino
Название: Recent Advances in Orthogonal Polynomials, Special Functions and Their Applications
ISBN: 0821868969 ISBN-13(EAN): 9780821868966
Издательство: Mare Nostrum (Eurospan)
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Цена: 85930.00 T
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Описание: This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29-September 2, 2011, at the Universidad Carlos III de Madrid in Leganes, Spain. <br><br>The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann-Hilbert approach in the study of Pade approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann-Hilbert analysis, and the steepest descent method.

Автор: Doman Brian George Spencer
Название: The Classical Orthogonal Polynomials
ISBN: 9814704032 ISBN-13(EAN): 9789814704038
Издательство: World Scientific Publishing
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Описание:

This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set. It continues by describing the classical orthogonal polynomials and the additional properties they have.

The first chapter defines the orthogonality condition for two functions. It then gives an iterative process to produce a set of polynomials which are orthogonal to one another and then describes a number of properties satisfied by any set of orthogonal polynomials. The classical orthogonal polynomials arise when the weight function in the orthogonality condition has a particular form. These polynomials have a further set of properties and in particular satisfy a second order differential equation.

Each subsequent chapter investigates the properties of a particular polynomial set starting from its differential equation.