Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) :
Name of Publisher, Distributor, etc.
SPIE,
Date of Publication, Distribution, etc.
2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource ([106] p.) :
Other Physical Details
digital file.
SERIES
Series Title
The field guide series ;
Volume Designation
18
GENERAL NOTES
Text of Note
"SPIE Digital Library."--Website.
Text of Note
Title from PDF title page (SPIE eBooks Website, viewed 2011-04-25).
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
Glossary of symbols and notation --
Text of Note
Bessel functions -- Bessel functions of the first kind -- Properties of Bessel functions of the first kind -- Bessel functions of the second kind -- Properties of Bessel functions of the second kind -- Modified Bessel functions of the first kind -- Properties of the modified Bessel functions of the first kind -- Modified Bessel functions of the second kind -- Properties of the modified Bessel functions of the second kind -- Spherical Bessel functions -- Properties of the spherical Bessel functions -- Modified spherical Bessel functions -- Hankel functions -- Struve functions -- Kelvin's functions -- Airy functions -- Other Bessel functions -- Differential equation example -- Bessel function example --
Text of Note
Bibliography -- Index.
Text of Note
Engineering functions -- Step and signum (sign) functions -- Rectangle and triangle functions -- Sinc and Gaussian functions -- Delta function -- Delta function example -- Comb function --
Text of Note
Gamma functions -- Integral representations -- Gamma function identities -- Incomplete gamma functions -- Incomplete gamma function identities -- Gamma function example -- Beta function -- Gamma and beta function example -- Digamma (Psi) and polygamma functions -- Asymptotic series -- Bernoulli numbers and polynomials -- Riemann zeta function --
Text of Note
Hypergeometric function -- Hypergeometric function identities -- Hypergeometric function example -- Confluent hypergeometric functions -- Confluent hypergeometric function identities -- Confluent hypergeometric function example -- Generalized hypergeometric functions -- Relations of pFq to other functions -- Meijer G function -- Properties of the Meijer G function -- Relation of the G function to other functions -- MacRobert E function -- Meijer G example --
Text of Note
Infinite series and improper integrals -- Series of constants -- Operations with series -- Factorials and binomial coefficients -- Factorials and binomial coefficients example -- Power series -- Operations with power series -- Power series example -- Improper integrals -- Asymptotic series for small arguments -- Asymptotic series for large arguments -- Asymptotic series example --
Orthogonal series -- Fourier trigonometric series -- Fourier trigonometric series: general intervals -- Exponential Fourier series -- Generalized Fourier series -- Fourier series example -- Legendre series -- Hermite and Laguerre series -- Bessel series -- Bessel series example -- Hypergeometric-type functions -- Pochhammer symbol --
Text of Note
Other functions defined by integrals -- Error functions -- Fresnel integrals -- Exponential and logarithmic integrals -- Sine and cosine integrals -- Elliptic integrals -- Elliptic functions -- Cumulative distribution function example --
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SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9780819485502
PARALLEL TITLE PROPER
Parallel Title
Special functions for engineers
TOPICAL NAME USED AS SUBJECT
Engineering mathematics-- Formulae, Handbooks, manuals, etc.
Engineering mathematics.
Functions, Special.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Andrews, Larry C.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
Society of Photo-optical Instrumentation Engineers.