Special Functions for Scientists and Engineers

Author: W. W. Bell
Publisher: Courier Corporation
ISBN: 0486317560
Category : Technology & Engineering
Languages : en
Pages : 274

Book Description
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.

Special Functions of Mathematics for Engineers

Author: Larry C. Andrews
Publisher: SPIE Press
ISBN: 9780819426161
Category : Mathematics
Languages : en
Pages : 512

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.

Theory and Applications of Special Functions for Scientists and Engineers

Author: Xiao-Jun Yang
Publisher: Springer
ISBN: 9789813363366
Category : Mathematics
Languages : en
Pages : 0

Book Description
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.

Special Functions for Optical Science and Engineering

Author: Vasudevan Lakshminarayanan
Publisher: SPIE-International Society for Optical Engineering
ISBN: 9781628418873
Category : Optical engineering
Languages : en
Pages : 0

Book Description
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.

Special Functions for Applied Scientists

Author: A.M. Mathai
Publisher: Springer Science & Business Media
ISBN: 0387758941
Category : Science
Languages : en
Pages : 480

Book Description
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.

Special Functions

Author: George E. Andrews
Publisher: Cambridge University Press
ISBN: 9780521789882
Category : Mathematics
Languages : en
Pages : 684

Book Description
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.

Introduction to Bessel Functions

Author: Frank Bowman
Publisher: Courier Corporation
ISBN: 0486152995
Category : Mathematics
Languages : en
Pages : 148

Book Description
Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.

Special Functions in Physics with MATLAB

Author: Wolfgang Schweizer
Publisher: Springer Nature
ISBN: 3030642321
Category : Science
Languages : en
Pages : 282

Book Description
This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.

Computation of Special Functions

Author: Shanjie Zhang
Publisher: Wiley-Interscience
ISBN:
Category : Computers
Languages : en
Pages : 752

Book Description
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.

Mathematical Handbook for Scientists and Engineers

Author: Granino A. Korn
Publisher: Courier Corporation
ISBN: 0486320235
Category : Technology & Engineering
Languages : en
Pages : 1154

Book Description
Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.