Orthogonal Polynomials Of Several Variables

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Orthogonal Polynomials Of Several Variables

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Author : Charles F. Dunkl
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-21

Orthogonal Polynomials Of Several Variables written by Charles F. Dunkl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-21 with Mathematics categories.

Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.

Orthogonal Polynomials Of Several Variables

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Author : Charles F. Dunkl
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-21

Orthogonal Polynomials Of Several Variables written by Charles F. Dunkl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-21 with Mathematics categories.

Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains. The approach is a blend of classical analysis and symmetry group theoretic methods. Finite reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. This revised edition has been updated throughout to reflect recent developments in the field. It contains 25% new material, including two brand new chapters on orthogonal polynomials in two variables, which will be especially useful for applications, and orthogonal polynomials on the unit sphere. The most modern and complete treatment of the subject available, it will be useful to a wide audience of mathematicians and applied scientists, including physicists, chemists and engineers.

Topics In Polynomials Of One And Several Variables And Their Applications

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Author : Themistocles M. Rassias
language : en
Publisher: World Scientific
Release Date : 1993

Topics In Polynomials Of One And Several Variables And Their Applications written by Themistocles M. Rassias and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.

Orthogonal Polynomials Of Several Variables

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Author : Charles F. Dunkl
language : en
Publisher: Cambridge University Press
Release Date : 2001-02-22

Orthogonal Polynomials Of Several Variables written by Charles F. Dunkl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-22 with Mathematics categories.

Orthogonal polynomials of several variables, approximation theory, symmetry-group methods.

Orthogonal Polynomials Of Several Variables Second Edition

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Author : Charles F. Dunkl. Yuan Xu
language : en
Publisher:
Release Date : 2014

Orthogonal Polynomials Of Several Variables Second Edition written by Charles F. Dunkl. Yuan Xu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.

Affine Hecke Algebras And Orthogonal Polynomials

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Author : I. G. Macdonald
language : en
Publisher: Cambridge University Press
Release Date : 2003-03-20

Affine Hecke Algebras And Orthogonal Polynomials written by I. G. Macdonald and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-20 with Mathematics categories.

First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is related to mathematical physics.

Classical Orthogonal Polynomials Of A Discrete Variable

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Author : Arnold F. Nikiforov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Classical Orthogonal Polynomials Of A Discrete Variable written by Arnold F. Nikiforov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of difference equations of hypergeometric type on lattices. The authors present a concise introduction to this theory, presenting at the same time methods of solving a large class of difference equations. They apply the theory to various problems in scientific computing, probability, queuing theory, coding and information compression. The book is an expanded and revised version of the first edition, published in Russian (Nauka 1985). Students and scientists will find a useful textbook in numerical analysis.

An Introduction To Orthogonal Polynomials

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Author : Theodore S Chihara
language : en
Publisher: Courier Corporation
Release Date : 2011-02-17

An Introduction To Orthogonal Polynomials written by Theodore S Chihara and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-17 with Mathematics categories.

"This concise introduction covers general elementary theory related to orthogonal polynomials and assumes only a first undergraduate course in real analysis. Topics include the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula and properties of orthogonal polynomials, special functions, and some specific systems of orthogonal polynomials. 1978 edition"--

Orthogonal Polynomials In Two Variables

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Author : P.K. Suetin
language : en
Publisher: Routledge
Release Date : 2022-03-31

Orthogonal Polynomials In Two Variables written by P.K. Suetin and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-31 with Mathematics categories.

Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials.