Special Functions of Mathematics for Engineers

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