Rational Approximations for the Incomplete Gamma Function
Author: Midwest Research Institute (Kansas City, Mo.)
Publisher:
Published: 1962
Total Pages: 164
ISBN-13:
DOWNLOAD EBOOK →Author: Midwest Research Institute (Kansas City, Mo.)
Publisher:
Published: 1962
Total Pages: 164
ISBN-13:
DOWNLOAD EBOOK →Author: Midwest Research Institute (Kansas City, Mo.)
Publisher:
Published: 1963
Total Pages: 190
ISBN-13:
DOWNLOAD EBOOK →Author: Yudell L. Luke
Publisher: Academic Press
Published: 1969
Total Pages: 484
ISBN-13: 0080955614
DOWNLOAD EBOOK →Special Functions and Their Approximations: v. 2
Author: Yudell L. Luke
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 587
ISBN-13: 1483262456
DOWNLOAD EBOOK →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.
Author: E.B. Safe
Publisher: Elsevier
Published: 2013-05-09
Total Pages: 506
ISBN-13: 0323147771
DOWNLOAD EBOOK →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.
Author: Yudell L. Luke
Publisher: Academic Press
Published: 1969
Total Pages: 348
ISBN-13: 0080955606
DOWNLOAD EBOOK →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.
Author: Yudell L. Luke
Publisher: Courier Corporation
Published: 2014-10-20
Total Pages: 432
ISBN-13: 0486799395
DOWNLOAD EBOOK →A massive compendium of useful information, this volume represents a valuable tool for applied mathematicians in many areas of academia and industry. A dozen useful tables supplement the text. 1962 edition.
Author: Milton Abramowitz
Publisher: Courier Corporation
Published: 2012-04-30
Total Pages: 1068
ISBN-13: 0486158241
DOWNLOAD EBOOK →A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.