Publisher Description

The book is intended as a supplement to courses in classical or quantum mechanics, electrodynamics, or any other physics course in which one encounters hypergeometric functions. It will serve as a reference for hypergeometric functions, for the relationship of hypergeometric functions to special functions, and for those areas of special functions which are useful in physics. The reader should have completed two or three semesters of calculus and have some knowledge of Schrodinger's equations. Courses at the intermediate level in classical mechanics and/or electricity and magnetism are also desirable but not essential.

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Table of Contents

1 Special Functions in Applied Mathematics.- 2 Differential Equations and Special Functions.- 3 The Confluent Hypergeometric Function.- 4 Problems in Two Dimensions.- 5 The Central Force Problem in Quantum Mechanics.- 6 The Radial Equation for Central Force Fields.- 7 Complex Analysis.- 8 Applications of Contour Integrals.- 9 Alternate Forms for Special Functions.- 10 Integral Representations of Special Functions.- 11 Generating Functions and Recursion Formulas.- 12 Orthogonal Functions.

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Long Description

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas

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