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- A List of Special Function Formulas- Selected Answers to Exercises- Index