English | ISBN: 0819426164 | | 504 Pages | PDF | 13 MB
Modern engineering and physical science applications demand a thorough knowledge of applied mathematics, particularly special functions. These typically arise in applications such as communication systems, electro-optics, nonlinear wave propagation, electromagnetic theory, electric circuit theory, and quantum mechanics. This text systematically introduces special functions and explores their properties and applications in engineering and science.
Contents
– Preface to the Second Edition
– Preface to the First Edition
– Notation for Special Functions
– Infinite Series, Improper Integrals, and Infinite Products
– The Gamma Function and Related Functions
– Other Functions Defined by Integrals
– Legendre Polynomials and Related Functions
– Other Orthogonal Polynomials
– Bessel Functions
– Bessel Functions of Other Kinds
– Applications Involving Bessel Functions
– The Hypergeometric Function
– The Confluent Hypergeometric Functions
– Generalized Hypergeometric Functions
– Applications Involving Hypergeometric-Type Functions
– Bibliography
– Appendix: A List of Special Function Formulas
– Selected Answers to Exercises
– Index
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