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Field Guide to Special Functions for Engineers

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This Field Guide is designed to provide engineers and scientists with a quick reference for special functions that are crucial to resolving modern engineering and physics problems. The functions treated in this book apply to many fields, including electro-optics, electromagnetic theory, wave propagation, heat conduction, quantum mechanics, probability theory, and electric circuit theory, among many other areas of application. A brief review of these important topics is included in this guide, as well as an introduction to some useful engineering functions such as the step function, rectangle function, and delta (impulse) function.

Table of Contents

- Engineering Functions
- Infinite Series and Improper Integrals
- Gamma Functions
- Other Functions Defined by Integrals
- Orthogonal Polynomials
- Bessel Functions
- Orthogonal Series
- Hypergeometric-Type Functions
- Bibliography
- Index

Author(s): Larry C. Andrews
Series: SPIE field guides, FG18
Edition: Spi
Publisher: SPIE Press
Year: 2011

Language: English
Pages: xii, 103 pages
City: Bellingham, Wash
Tags: Математика;Математическая физика;


Content:
Engineering functions --
Infinite series and improper integrals --
Gamma functions --
Other functions defined by integrals --
Orthogonal polynomials --
Bessel functions --
Orthogonal series --
Hypergeometric-type functions.
Abstract: This Field Guide is designed to provide engineers and scientists with a quick reference for special functions that are crucial to resolving modern engineering and physics problems. The functions treated in this book apply to many fields, including electro-optics, electromagnetic theory, wave propagation, heat conduction, quantum mechanics, probability theory, and electric circuit theory, among many other areas of application. A brief review of these important topics is included in this guide, as well as an introduction to some useful engineering functions such as the step function, rectangle function, and delta (impulse) function