Asymptotics for Orthogonal Polynomials, Walter Van Assche

Автор: Beals
Название: Special Functions and Orthogonal Polynomials
ISBN: 1107106982 ISBN-13(EAN): 9781107106987
Издательство: Cambridge Academ
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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: Allan M. Krall
Название: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials
ISBN: 3034894597 ISBN-13(EAN): 9783034894593
Издательство: Springer
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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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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: Walter Gautschi; Gene H. Golub; Gerhard Opfer
Название: Applications and Computation of Orthogonal Polynomials
ISBN: 3764361379 ISBN-13(EAN): 9783764361372
Издательство: Springer
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Описание: This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists. The applications address problems in applied mathematics as well as problems in engineering and the sciences.

Автор: M. Martin; Alexander Krasnoselskii
Название: Asymptotics of Nonlinearities and Operator Equations
ISBN: 3034898991 ISBN-13(EAN): 9783034898997
Издательство: Springer
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Описание: New methods for solving classical problems in the theory of nonlinear operator equations (solvability, multiple solutions, bifurcations, nonlinear resonance, potential methods, etc) are introduced and discussed. In particular, the problem on forced periodic oscillations is considered for equations arising in control theory.

Автор: Frankel N.
Название: Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
ISBN: 0521497981 ISBN-13(EAN): 9780521497985
Издательство: Cambridge Academ
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Описание: This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.

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.

Автор: Paul Nevai
Название: Orthogonal Polynomials
ISBN: 9401067112 ISBN-13(EAN): 9789401067119
Издательство: Springer
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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