Introduction to Special Functions

Author: Wang Zhuxi
Publisher:
Publish Date: 2004-02-01
Features: This book systematically introduces some main special functions, such as hypergeometric functions, Legendre functions, confluent hypergeometric functions, Bessel functions, elliptic functions, ellipsoidal harmonics, and Mathieu functions. It also explains some commonly used concepts and theories when discussing special functions, such as series expansions and infinite product expansions of functions, asymptotic expansions, series solutions and integral solutions of linear ordinary differential equations, etc. At the end of each chapter, exercises are provided, which include some useful formulas as supplementary to the main text of the book. This book can be used as a reference for students and teachers in mathematics and physics departments, as well as researchers in mathematics, physics, and engineering fields.