Author : Larry C. Andrews
Publisher : SPIE Press
Page : 512 pages
File Size : 11,44 MB
Release : 1998
Category : Mathematics
ISBN : 9780819426161
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.
Author : W. W. Bell
Publisher : Courier Corporation
Page : 274 pages
File Size : 31,22 MB
Release : 2013-07-24
Category : Technology & Engineering
ISBN : 0486317560
Physics, chemistry, and engineering undergraduates will benefit from this straightforward guide to special functions. Its topics possess wide applications in quantum mechanics, electrical engineering, and many other fields. 1968 edition. Includes 25 figures.
Author : Larry C. Andrews
Publisher :
Page : 376 pages
File Size : 21,41 MB
Release : 1985
Category : Mathematics
ISBN :
Author : George E. Andrews
Publisher : Cambridge University Press
Page : 684 pages
File Size : 15,14 MB
Release : 1999
Category : Mathematics
ISBN : 9780521789882
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Author : Xiao-Jun Yang
Publisher : Springer
Page : 0 pages
File Size : 26,56 MB
Release : 2023-01-15
Category : Mathematics
ISBN : 9789813363366
This book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena in mathematical physics, engineering and other applied sciences. The audience benefits of new and original information and references in the areas of the special functions applied to model the complex problems with the power-law behaviors. The results are important and interesting for scientists and engineers to represent the complex phenomena arising in applied sciences therefore graduate students and researchers in mathematics, physics and engineering might find this book appealing.
Author : Andrei D. Polyanin
Publisher : CRC Press
Page : 1542 pages
File Size : 33,34 MB
Release : 2006-11-27
Category : Mathematics
ISBN : 1420010514
Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.
Author : Larry C. Andrews
Publisher : SPIE Press
Page : 822 pages
File Size : 17,45 MB
Release : 2003
Category : Mathematics
ISBN : 9780819445063
"This self-study text for practicing engineers and scientists explains the mathematical tools that are required for advanced technological applications, but are often not covered in undergraduate school. The authors (University of Central Florida) describe special functions, matrix methods, vector operations, the transformation laws of tensors, the analytic functions of a complex variable, integral transforms, partial differential equations, probability theory, and random processes. The book could also serve as a supplemental graduate text."--Memento.
Author : A.M. Mathai
Publisher : Springer Science & Business Media
Page : 480 pages
File Size : 19,25 MB
Release : 2008-02-13
Category : Science
ISBN : 0387758941
This book, written by a highly distinguished author, provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at PhD level. The opening chapter introduces elementary classical special functions. The final chapter is devoted to the discussion of functions of matrix argument in the real case. The text and exercises have been class-tested over five different years.
Author : Vasudevan Lakshminarayanan
Publisher : SPIE-International Society for Optical Engineering
Page : 0 pages
File Size : 10,18 MB
Release : 2015
Category : Optical engineering
ISBN : 9781628418873
This tutorial text is for those who use special functions in their work or study but are not mathematicians. Traditionally, special functions arise as solutions to certain linear second-order differential equations with variable coefficients. This book introduces these differential equations, their solutions, and their applications in optical science and engineering.
Author : Shanjie Zhang
Publisher : Wiley-Interscience
Page : 752 pages
File Size : 44,81 MB
Release : 1996-07-26
Category : Computers
ISBN :
Computation of Special Functions is a valuable book/software package containing more than 100 original computer programs for the computation of most special functions currently in use. These include many functions commonly omitted from available software packages, such as the Bessel and modified Bessel functions, the Mathieu and modified Mathieu functions, parabolic cylinder functions, and various prolate and oblate spheroidal wave functions. Also, unlike most software packages, this book/disk set gives readers the latitude to modify programs according to the special demands of the sophisticated problems they are working on. The authors provide detailed descriptions of the program's algorithms as well as specific information about each program's internal structure.
