About this book
Special Functions for Applied Scientists provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at the PhD level and covers a wide-array of topics and begins by introducing elementary classical special functions. From there, differential equations and some applications into statistical distribution theory are examined.
The fractional calculus chapter covers fractional integrals and fractional derivatives as well as their applications to reaction-diffusion problems in physics, input-output analysis, Mittag-Leffler stochastic processes and related topics. The authors then cover q-hypergeometric functions, Ramanujan's work and Lie groups.
The latter half of this volume presents applications into stochastic processes, random variables, Mittag-Leffler processes, density estimation, order statistics, and problems in astrophysics.
Professor Dr. A.M. Mathai is Emeritus Professor of Mathematics and Statistics, McGill University, Canada.
Professor Dr. Hans J. Haubold is an astrophysicist and chief scientist at the Office of Outer Space Affairs of the United Nations.
- Book Title Special Functions for Applied Scientists
- DOI https://doi.org/10.1007/978-0-387-75894-7
- Copyright Information Springer New York 2008
- Publisher Name Springer, New York, NY
- eBook Packages Physics and Astronomy Physics and Astronomy (R0)
- Hardcover ISBN 978-0-387-75893-0
- Softcover ISBN 978-1-4419-2610-4
- eBook ISBN 978-0-387-75894-7
- Edition Number 1
- Number of Pages XXVI, 470
- Number of Illustrations 10 b/w illustrations, 0 illustrations in colour
Mathematical Methods in Physics
Theoretical, Mathematical and Computational Physics
Astrophysics and Astroparticles
- Buy this book on publisher's site
- Industry Sectors
- Energy, Utilities & Environment
From the reviews:
"Special functions refer to functions, of one or several real or complex variables, that play key roles in … one area of mathematics, particularly number theory, combinatorics, complex analysis, differential equations, Lie group representations, probability, statistics, and mathematical physics. … Summing Up: Recommended. Comprehensive academic, technical program, and professional collections, all levels." (D. V. Feldman, Choice, Vol. 46 (5), January, 2009)
"This book differs significant from other text books on special functions, because every chapter deals with the topic on one of the courses of the SSF. … Many examples illustrate the use of theorems and formulas. At the end of each section exercises are given. … An interesting book for all scientists interested in applications of special functions in physical sciences. It contains a speedy access to many special functions used in applications and also a lot of applications." (H.-J. Glaeske, Zentralblatt MATH, Vol. 1151, 2009)“This book is based on selected lectures given by several speakers at the Centre for Mathematical Sciences … from 1995 to 2007. … In the present book these lectures are written up in a style for self-study by scientists, engineers and mathematicians interested in applications … . Who can profit from this book? Physicists, engineers, other scientists, applied mathematicians, economists, looking for a well-readable introduction … . this book is surely recommended to open-minded researchers in any scientific and technical area … .” (Francesco Mainardi, Journal of Approximation Theory, February, 2010)