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Full Description
Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications. Designed to build swiftly from the more basic special functions towards more advanced material, the book is ideally suited for an intensive one semester course. Complemented with various solved examples and exercises to support students and instructors, the book can be used for both self-study and directed learning.
Features
Suitable for graduate level students or beginning PhD students in mathematics, physics, statistics, and economics
No previous background in complex analysis required
Numerous solved examples and exercises.
Contents
Preface 1 Preliminaries 2 Gamma and Beta functions 3 Digamma, Trigamma and Polygamma 4 Digamma, Trigamma and Polygamma 5 A synopsis on second order linear ODE 6 Airy and Hermite functions 7 Bessel functions: part 1 8 Bessel functions: part 2 9 Gauss hypergeometric function 10 Generalized Hypergeometric functions of one variable 11 Applications and exercises Bibliography Analytic Index



