Classical Orthogonal Polynomials Of A Discrete Variable

Author : Arnold F. Nikiforov
Publisher : Springer Science & Business Media
ISBN 13 : 3642747485
Total Pages : 388 pages
Book Rating : 4.89/5 ( download)

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Download or read book Classical Orthogonal Polynomials of a Discrete Variable written by Arnold F. Nikiforov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Mourad Ismail
Publisher : Cambridge University Press
ISBN 13 : 9780521782012
Total Pages : 748 pages
Book Rating : 4.15/5 ( download)

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Download or read book Classical and Quantum Orthogonal Polynomials in One Variable written by Mourad Ismail and published by Cambridge University Press. This book was released on 2005-11-21 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.

Author : Rezan Sevinik Adıgüzel
Publisher :
ISBN 13 : 9783659235931
Total Pages : 0 pages
Book Rating : 4.38/5 ( download)

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Download or read book Classical Orthogonal Polynomials of Discrete Variable written by Rezan Sevinik Adıgüzel and published by . This book was released on 2012-09-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mama Foupouagnigni
Publisher : Springer Nature
ISBN 13 : 3030367444
Total Pages : 683 pages
Book Rating : 4.42/5 ( download)

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Download or read book Orthogonal Polynomials written by Mama Foupouagnigni and published by Springer Nature. This book was released on 2020-03-11 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlevé equations. The contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on October 5–12, 2018 in Douala, Cameroon. This workshop, funded within the framework of the Volkswagen Foundation Initiative "Symposia and Summer Schools", was aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas as well as development and enhancement of networking including south-south cooperation.

Author : Charles F. Dunkl
Publisher : Cambridge University Press
ISBN 13 : 1316061906
Total Pages : 439 pages
Book Rating : 4.09/5 ( download)

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Download or read book Orthogonal Polynomials of Several Variables written by Charles F. Dunkl and published by Cambridge University Press. This book was released on 2014-08-21 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Mama Foupouagnigni
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.92/5 ( download)

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Download or read book Fourth Order Difference Equation for the Associated Classical Discrete Orthogonal Polynomials written by Mama Foupouagnigni and published by . This book was released on 1997 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We derive the fourth order difference equation satisfied by the associated of order [tau] of the classical orthogonal polynomials of a discrete variable. The coefficients of this equation are given in terms of the polynomials [sigma] and [tau] which appear in the discrete Pearson equation [delta]([sigma rho]) = [tau rho] defining the weight [rho]([chi]) of the classical discrete orthogonal polynomials."

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.57/5 ( download)

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Download or read book Some Properties of the Orthogonal Polynomials of a Discrete Variable written by and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : P. K. Suetin
Publisher : CRC Press
ISBN 13 : 9789056991678
Total Pages : 494 pages
Book Rating : 4.71/5 ( download)

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Download or read book Orthogonal Polynomials in Two Variables written by P. K. Suetin and published by CRC Press. This book was released on 1999-08-19 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Mourad E. H. Ismail
Publisher : Cambridge University Press
ISBN 13 : 0521197422
Total Pages : 0 pages
Book Rating : 4.27/5 ( download)

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Download or read book Encyclopedia of Special Functions: The Askey–Bateman Project written by Mourad E. H. Ismail and published by Cambridge University Press. This book was released on 2020-09-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive update of the Bateman Manuscript Project. Volume 1 covers orthogonal polynomials and moment problems.

Author : Theodore S Chihara
Publisher : Courier Corporation
ISBN 13 : 0486479293
Total Pages : 276 pages
Book Rating : 4.93/5 ( download)

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Download or read book An Introduction to Orthogonal Polynomials written by Theodore S Chihara and published by Courier Corporation. This book was released on 2011-02-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--