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Rational Approximations To A Class Of G Functions
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Book Synopsis Rational Approximations to a Class of G-functions by : Jerry L. Fields
Download or read book Rational Approximations to a Class of G-functions written by Jerry L. Fields and published by . This book was released on 1969 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed form rational approximations are given for the Meijer G-function. In a previous study, the error was formulated by use of differential operators. In the present paper, an error representation based on difference operators is derived.
Book Synopsis Rational Approximations to a Class of G-functions by : Jerry L. Fields
Download or read book Rational Approximations to a Class of G-functions written by Jerry L. Fields and published by . This book was released on 1969 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed form rational approximations are given for the Meijer G-function. In a previous study, the error was formulated by use of differential operators. In the present paper, an error representation based on difference operators is derived. (Author).
Book Synopsis Rational Approximations to a Class of G-functions by : Jerry L. Fields
Download or read book Rational Approximations to a Class of G-functions written by Jerry L. Fields and published by . This book was released on 1969 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed form rational approximations are given for the Meijer G-function. In a previous study, the error was formulated by use of differential operators. In the present paper, an error representation based on difference operators is derived.
Book Synopsis Special Functions and Their Approximations: v. 2 by : Yudell L. Luke
Download or read book Special Functions and Their Approximations: v. 2 written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Functions and Their Approximations: v. 2
Book Synopsis Interpolation and Approximation by Rational Functions in the Complex Domain by : J. L. Walsh
Download or read book Interpolation and Approximation by Rational Functions in the Complex Domain written by J. L. Walsh and published by American Mathematical Soc.. This book was released on 1935-12-31 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
Book Synopsis Mathematical Functions and Their Approximations by : Yudell L. Luke
Download or read book Mathematical Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 2014-05-10 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.
Book Synopsis Rational Approximations of functions by :
Download or read book Rational Approximations of functions written by and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pade and Rational Approximation by : E.B. Safe
Download or read book Pade and Rational Approximation written by E.B. Safe and published by Elsevier. This book was released on 2013-05-09 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Padé and Rational Approximation: Theory and Applications presents the proceedings of the Conference on Rational Approximation with Emphasis on Applications of Padé Approximants, held in Tampa, Florida on December 15-17, 1976. The contributors focus on the interplay of theory, computation, and physical applications. This book is composed of six parts encompassing 44 chapters. The introductory part discusses the general theory of orthogonal polynomials that is the mathematical basis of Padé approximants and related matters evaluation. This text also examines the connection between approximants on a stepline in the ordinary Padé table and certain continued fractions and the convergence of diagonal Padé approximants to a class of functions with an even number of branch points. The following parts deal with the special functions and continued fractions of Padé approximation and the theory of rational approximations. These parts also investigate the geometric convergence of Chebyshev rational approximation on the half line, the optimal approximation by “Almost Classical interpolation, and the incomplete polynomials approximation. The discussion then shifts to the physical applications and computations of the Padé approximants. The concluding part presents the applications of rational approximation to gun fire control and to the White Sands Missile Range Computer Facility. This part also provides a list of some open problems and conjectures concerning polynomials and rational functions. This book is of great benefit to mathematicians, physicists, and laboratory workers.
Book Synopsis Rational Approximations to Functions by : Raymond W. H. Chan
Download or read book Rational Approximations to Functions written by Raymond W. H. Chan and published by . This book was released on 1966 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rational Approximation of Real Functions by : P. P. Petrushev
Download or read book Rational Approximation of Real Functions written by P. P. Petrushev and published by Cambridge University Press. This book was released on 2011-03-03 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1987 book examines the approximation of real functions by real rational functions. These are a more convenient tool than polynomials, and interest in them was growing, especially after D. Newman's work in the mid-sixties. The authors present the basic achievements of the subject and also discuss some topics from complex rational approximation.
Book Synopsis The Special Functions and Their Approximations by : Yudell L. Luke
Download or read book The Special Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.
Book Synopsis Approximation of Functions by : G. G. Lorentz
Download or read book Approximation of Functions written by G. G. Lorentz and published by American Mathematical Society. This book was released on 2023-05-08 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an easily accessible account of the approximation of functions. It is simple and without unnecessary details, but complete enough to include the classical results of the theory. With only a few exceptions, only functions of one real variable are considered. A major theme is the degree of uniform approximation by linear sets of functions. This encompasses approximations by trigonometric polynomials, algebraic polynomials, rational functions, and polynomial operators. The chapter on approximation by operators does not assume extensive knowledge of functional analysis. Two chapters cover the important topics of widths and entropy. The last chapter covers the solution by Kolmogorov and Arnol?d of Hilbert's 13th problem. There are notes at the end of each chapter that give information about important topics not treated in the main text. Each chapter also has a short set of challenging problems, which serve as illustrations.
Book Synopsis Notes on Some Methods for Obtaining Rational Approximations for Functions by : Thomas H. Southard
Download or read book Notes on Some Methods for Obtaining Rational Approximations for Functions written by Thomas H. Southard and published by . This book was released on 1960 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Methods and $q$-Special Functions by : Jan Felipe Van Diejen
Download or read book Algebraic Methods and $q$-Special Functions written by Jan Felipe Van Diejen and published by American Mathematical Soc.. This book was released on 1999 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been revived interest in recent years in the study of special functions. Many of the latest advances in the field were inspired by the works of R. A. Askey and colleagues on basic hypergeometric series and I. G. Macdonald on orthogonal polynomials related to root systems. Significant progress was made by the use of algebraic techniques involving quantum groups, Hecke algebras, and combinatorial methods. The CRM organized a workshop for key researchers in the field to present an overview of current trends. This volume consists of the contributions to that workshop. Topics include basic hypergeometric functions, algebraic and representation-theoretic methods, combinatorics of symmetric functions, root systems, and the connections with integrable systems.
Book Synopsis Nonlinear Numerical Methods and Rational Approximation II by : A. Cuyt
Download or read book Nonlinear Numerical Methods and Rational Approximation II written by A. Cuyt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the international conference on "Nonlinear numerical methods and Rational approximation II" organised by Annie Cuyt at the University of Antwerp (Belgium), 05-11 September 1993. It was held for the third time in Antwerp at the conference center of UIA, after successful meetings in 1979 and 1987 and an almost yearly tradition since the early 70's. The following figures illustrate the growing number of participants and their geographical dissemination. In 1993 the Belgian scientific committee consisted of A. Bultheel (Leuven), A. Cuyt (Antwerp), J. Meinguet (Louvain-Ia-Neuve) and J.-P. Thiran (Namur). The conference focused on the use of rational functions in different fields of Numer ical Analysis. The invited speakers discussed "Orthogonal polynomials" (D. S. Lu binsky), "Rational interpolation" (M. Gutknecht), "Rational approximation" (E. B. Saff) , "Pade approximation" (A. Gonchar) and "Continued fractions" (W. B. Jones). In contributed talks multivariate and multidimensional problems, applications and implementations of each main topic were considered. To each of the five main topics a separate conference day was devoted and a separate proceedings chapter compiled accordingly. In this way the proceedings reflect the organisation of the talks at the conference. Nonlinear numerical methods and rational approximation may be a nar row field for the outside world, but it provides a vast playground for the chosen ones. It can fascinate specialists from Moscow to South-Africa, from Boulder in Colorado and from sunny Florida to Zurich in Switzerland.
Book Synopsis Rational Approximation of Real Functions by : Petrushev PP.
Download or read book Rational Approximation of Real Functions written by Petrushev PP. and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation of Functions by : Henry Leslie Garabedian
Download or read book Approximation of Functions written by Henry Leslie Garabedian and published by . This book was released on 1965 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
