PirateBay Download | andrews g askey r special functions 1999

andrews g askey r special functions 1999

Type:: E-books
Files:: 2
Size:: 34.8 MB
Uploaded On:: July 1, 2023, 2:18 p.m.
Added By:: andryold1
Seeders:: 4
Leechers:: 5
Info Hash:: 1AC2D7473203166F94354A63221B3A7696A5199C

Textbook in PDF format Special functions, which include the trigonometric functions, have been used for centuries. Their role in the solution of differential equations was exploited by Newton and Leibniz, and the subject of special functions has been in continuous development ever since. In just the past thirty years several new special functions and applications have been discovered. This treatise presents an overview of the area of special functions, focusing primarily on the hypergeometric functions and the associated hypergeometric series. It includes both important historical results and recent developments and shows how these arise from several areas of mathematics and mathematical physics. Particular emphasis is placed on formulas that can be used in computation. The book begins with a thorough treatment of the gamma and beta functions, which are essential to understanding hypergeometric functions. Later chapters discuss Bessel functions, orthogonal polynomials and transformations, the Selberg integral and its applications, spherical harmonics, q-series, partitions, and Bailey chains. This clear, authoritative work will be a lasting reference for students and researchers in number theory, algebra, combinatorics, differential equations, mathematical computing, and mathematical physics. This book contains a wealth of fascinating material which is presented in a user-friendly way. If you want to extend your knowledge of special functions, this is a good place to start. Even if your interests are in number theory or combinatorics, there is something for you too. The book can be warmly recommended because the material is written in an excellent manner. This book is recommended warmly as a rich source of information to everybody who is interested in "Special Functions". The Gamma and Beta Functions The Hypergeometric Functions Hypergeometric Transformations and Identities Bessel Functions and Confluent Hypergeometric Functions Orthogonal Polynomials Special Orthogonal Polynomials Topics in Orthogonal Polynomials The Selberg Integral and Its Applications Spherical Harmonics Introduction to q-Series Partitions Bailey Chains Infinite Products Summability and Fractional Integration Asymptotic Expansions Euler-Maclaurin Summation Formula Lagrange Inversion Formula Series Solutions of Differential Equations Bibliography Index Subject Index Symbol Index

Get This Torrent

Andrews L. Special Functions of Mathematics for Engineers 2ed 1997.pdf 12.7 MB
Andrews G., Askey R. Special Functions 1999.pdf 22.1 MB

Details for: Andrews G., Askey R. Special Functions 1999

andrews g askey r special functions 1999

Similar Posts: