Hilbert Space, Boundary Value Problems and Orthogonal Polynomials, Allan M. Krall

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: 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: 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: 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: Madhu Sudan
Название: Efficient Checking of Polynomials and Proofs and the Hardness of Approximation Problems
ISBN: 3540606157 ISBN-13(EAN): 9783540606154
Издательство: Springer
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Описание: Building on results in theoretical computer science, this work offers theoretical insights and advances in applicable techniques in such areas as computational complexity, efficient (randomized) checking of proofs, programs and polynomials, approximation algoritms, and NP-complete optimization.

Автор: Walter Van Assche
Название: Asymptotics for Orthogonal Polynomials
ISBN: 3540180230 ISBN-13(EAN): 9783540180234
Издательство: Springer
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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: 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