Special Functions and Orthogonal Polynomials, Beals

Автор: Macdonald I. G.
Название: Symmetric Functions and Hall Polynomials
ISBN: 0198739125 ISBN-13(EAN): 9780198739128
Издательство: Oxford Academ
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Описание: Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.

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: T. Sheil-Small
Название: Complex Polynomials
ISBN: 0521400686 ISBN-13(EAN): 9780521400688
Издательство: Cambridge Academ
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Описание: This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis.

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.