Special Functions of Mathematics for Engineers, Second Edition

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pdf | 12.72 MB | English |978-0819483713 | Andre, Larry C. | 1997 | SPIE--The International Society for Optical Engineering; 2 edition | Page: 500

Book Description :

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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