General Orthogonal Polynomials

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Orthogonal Polynomials

Author : Gabor Szeg
Publisher : American Mathematical Soc.
ISBN 13 : 0821810235
Total Pages : 448 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Orthogonal Polynomials by : Gabor Szeg

Download or read book Orthogonal Polynomials written by Gabor Szeg and published by American Mathematical Soc.. This book was released on 1939-12-31 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special cases were introduced earlier by Legendre, Hermite, Jacobi, Laguerre, and Chebyshev himself. It was further developed by A. A. Markov, T. J. Stieltjes, and many other mathematicians. The book by Szego, originally published in 1939, is the first monograph devoted to the theory of orthogonal polynomials and its applications in many areas, including analysis, differential equations, probability and mathematical physics. Even after all the years that have passed since the book first appeared, and with many other books on the subject published since then, this classic monograph by Szego remains an indispensable resource both as a textbook and as a reference book. It can be recommended to anyone who wants to be acquainted with this central topic of mathematical analysis.

General Orthogonal Polynomials

Author : Herbert Stahl
Publisher : Cambridge University Press
ISBN 13 : 9780521415347
Total Pages : 272 pages
Book Rating : 4.4/5 (153 download)

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Book Synopsis General Orthogonal Polynomials by : Herbert Stahl

Download or read book General Orthogonal Polynomials written by Herbert Stahl and published by Cambridge University Press. This book was released on 1992-04-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An encyclopedic presentation of general orthogonal polynomials, placing emphasis on asymptotic behaviour and zero distribution.

An Introduction to Orthogonal Polynomials

Author : Theodore S Chihara
Publisher : Courier Corporation
ISBN 13 : 0486479293
Total Pages : 276 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis An Introduction to Orthogonal Polynomials by : Theodore S Chihara

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"--

Classical and Quantum Orthogonal Polynomials in One Variable

Author : Mourad Ismail
Publisher : Cambridge University Press
ISBN 13 : 9780521782012
Total Pages : 748 pages
Book Rating : 4.7/5 (82 download)

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Book Synopsis Classical and Quantum Orthogonal Polynomials in One Variable by : Mourad Ismail

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.

The Classical Orthogonal Polynomials

Author : Doman Brian George Spencer
Publisher : World Scientific
ISBN 13 : 9814704059
Total Pages : 176 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis The Classical Orthogonal Polynomials by : Doman Brian George Spencer

Download or read book The Classical Orthogonal Polynomials written by Doman Brian George Spencer and published by World Scientific. This book was released on 2015-09-18 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Orthogonal Polynomials of Several Variables

Author : Charles F. Dunkl
Publisher : Cambridge University Press
ISBN 13 : 1107071895
Total Pages : 439 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Orthogonal Polynomials of Several Variables by : Charles F. Dunkl

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

Padé-type approximation and general orthogonal polynomials

Author : C. Brezinski
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)

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Book Synopsis Padé-type approximation and general orthogonal polynomials by : C. Brezinski

Download or read book Padé-type approximation and general orthogonal polynomials written by C. Brezinski and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete Orthogonal Polynomials. (AM-164)

Author : J. Baik
Publisher : Princeton University Press
ISBN 13 : 0691127344
Total Pages : 178 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Discrete Orthogonal Polynomials. (AM-164) by : J. Baik

Download or read book Discrete Orthogonal Polynomials. (AM-164) written by J. Baik and published by Princeton University Press. This book was released on 2007 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description

From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

Author : Fritz Gesztesy
Publisher : Springer Nature
ISBN 13 : 3030754251
Total Pages : 388 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory by : Fritz Gesztesy

Download or read book From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory written by Fritz Gesztesy and published by Springer Nature. This book was released on 2021-11-11 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical fields. The collection will be of interest to both graduate students and professional mathematicians. Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D. Evans, J. Fillman, D. Frymark, A.G. García, L.G. Garza, F. Gesztesy, D. Gómez-Ullate, Y. Grandati, F.A. Grünbaum, S. Guo, M. Hunziker, A. Iserles, T.F. Jones, K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett, A. Martinez-Finkelshtein, D. McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong, K. Ono, J.L. Padgett, M.M.M. Pang, T. Poe, A. Sri Ranga, K. Schiefermayr, Q. Sheng, B. Simanek, J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.

Orthogonal Polynomials

Author : Géza Freud
Publisher : Elsevier
ISBN 13 : 148315940X
Total Pages : 295 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Orthogonal Polynomials by : Géza Freud

Download or read book Orthogonal Polynomials written by Géza Freud and published by Elsevier. This book was released on 2014-05-17 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthogonal Polynomials contains an up-to-date survey of the general theory of orthogonal polynomials. It deals with the problem of polynomials and reveals that the sequence of these polynomials forms an orthogonal system with respect to a non-negative m-distribution defined on the real numerical axis. Comprised of five chapters, the book begins with the fundamental properties of orthogonal polynomials. After discussing the momentum problem, it then explains the quadrature procedure, the convergence theory, and G. Szego's theory. This book is useful for those who intend to use it as reference for future studies or as a textbook for lecture purposes

Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach

Author : Percy Deift
Publisher : American Mathematical Soc.
ISBN 13 : 0821826956
Total Pages : 273 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach by : Percy Deift

Download or read book Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach written by Percy Deift and published by American Mathematical Soc.. This book was released on 2000 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models. The central question was the following: Why do very general ensembles of random n times n matrices exhibit universal behavior as n > infinity? The main ingredient in the proof is the steepest descent method for oscillatory Riemann-Hilbert problems. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

Orthogonal Polynomials

Author : Evguenii A. Rakhmanov
Publisher : de Gruyter
ISBN 13 : 9783110313857
Total Pages : 510 pages
Book Rating : 4.3/5 (138 download)

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Book Synopsis Orthogonal Polynomials by : Evguenii A. Rakhmanov

Download or read book Orthogonal Polynomials written by Evguenii A. Rakhmanov and published by de Gruyter. This book was released on 2020-05-07 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of the theory of orthogonal polynomials go back at least to the 18th century when they were studied in terms of continued fractions. The theory is now large and complex: a crossroad of several important domains of analysis such as analytic function theory, analytic theory of differential equations, Fourier and harmonic analysis, spectral theory of Sturm-Liouville operators, and approximation and interpolation, among others.

Fourier Series in Orthogonal Polynomials

Author : Boris Osilenker
Publisher : World Scientific
ISBN 13 : 9789810237875
Total Pages : 304 pages
Book Rating : 4.2/5 (378 download)

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Book Synopsis Fourier Series in Orthogonal Polynomials by : Boris Osilenker

Download or read book Fourier Series in Orthogonal Polynomials written by Boris Osilenker and published by World Scientific. This book was released on 1999 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic coarse on general orthogonal polynomials and Fourie series in orthogonal polynomials. It consists of six chapters. Chapter 1 deals in essence with standard results from the university course on the function theory of a real variable and on functional analysis. Chapter 2 contains the classical results about the orthogonal polynomials (some properties, classical Jacobi polynomials and the criteria of boundedness). The main subject of the book is Fourier series in general orthogonal polynomials. Chapters 3 and 4 are devoted to some results in this topic (classical results about convergence and summability of Fourier series in L(2)micro; summability almost everywhere by the Cesaro means and the Poisson-Abel method for Fourier polynomial series are the subject of Chapters 4 and 5). The last chapter contains some estimates regarding the generalized shift operator and the generalized product formula, associated with general orthogonal polynomials. The starting point of the technique in Chapters 4 and 5 is the representations of bilinear and trilinear forms obtained by the author. The results obtained in these two chapters are new ones. Chapters 2 and 3 (and part of Chapter 1) will be useful to postgraduate students, and one can choose them for treatment. This book is intended for researchers (mathematicians and physicists) whose work involves function theory, functional analysis, harmonic analysis and approximation theory.

Orthogonal Polynomials for Exponential Weights

Author : Eli Levin
Publisher : Springer Science & Business Media
ISBN 13 : 1461302013
Total Pages : 472 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Orthogonal Polynomials for Exponential Weights by : Eli Levin

Download or read book Orthogonal Polynomials for Exponential Weights written by Eli Levin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of orthogonal polynomials associated with general weights has been a major theme in classical analysis this century. In this monograph, the authors define and discuss their classes of weights, state several of their results on Christoffel functions, Bernstein inequalities, restricted range inequalities, and record their bounds on the orthogonal polynomials, as well as their asymptotic results. This book will be of interest to researchers in approximation theory, potential theory, as well as in some branches of engineering.

Padé-Type Approximation and General Orthogonal Polynomials

Author : BREZINSKI
Publisher : Birkhäuser
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Padé-Type Approximation and General Orthogonal Polynomials by : BREZINSKI

Download or read book Padé-Type Approximation and General Orthogonal Polynomials written by BREZINSKI and published by Birkhäuser. This book was released on 1980 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 : 4.6/5 (427 download)

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Book Synopsis Classical Orthogonal Polynomials of a Discrete Variable by : Arnold F. Nikiforov

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.

Lectures on Orthogonal Polynomials and Special Functions

Author : Howard S. Cohl
Publisher : Cambridge University Press
ISBN 13 : 1108905420
Total Pages : 352 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Lectures on Orthogonal Polynomials and Special Functions by : Howard S. Cohl

Download or read book Lectures on Orthogonal Polynomials and Special Functions written by Howard S. Cohl and published by Cambridge University Press. This book was released on 2020-10-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts in their respective fields, this collection of pedagogic surveys provides detailed insight and background into five separate areas at the forefront of modern research in orthogonal polynomials and special functions at a level suited to graduate students. A broad range of topics are introduced including exceptional orthogonal polynomials, q-series, applications of spectral theory to special functions, elliptic hypergeometric functions, and combinatorics of orthogonal polynomials. Exercises, examples and some open problems are provided. The volume is derived from lectures presented at the OPSF-S6 Summer School at the University of Maryland, and has been carefully edited to provide a coherent and consistent entry point for graduate students and newcomers.