Applications and Computation of Orthogonal Polynomials, Walter Gautschi; Gene H. Golub; Gerhard Opfer
Автор: Paul Nevai Название: Orthogonal Polynomials ISBN: 9401067112 ISBN-13(EAN): 9789401067119 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute on Orthogonal Polynomials and Their Applications, Columbus, Ohio, U.S.A., May 22-June 3, 1989
Описание: This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set).
Автор: Dunkl Название: Orthogonal Polynomials of Several Variables ISBN: 1107071895 ISBN-13(EAN): 9781107071896 Издательство: Cambridge Academ Рейтинг: Цена: 21226.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Walter Van Assche Название: Asymptotics for Orthogonal Polynomials ISBN: 3540180230 ISBN-13(EAN): 9783540180234 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
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