Special Functions For Applied Scientists

Hardcover | March 19, 2008

byA.M. Mathai, H.J. Haubold

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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.

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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 discus...

From the Jacket

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, differenti...

Arakaparampil Mathai Mathai was born in Arakulam in the Idukki district of Kerala, India. He is the eldest son of Aley and Arakaparampil Mathai. He completed his High School education in 1953 with record marks in St. Thomas High School, Palai. He then entered St. Thomas College in Palai, obtained his B.Sc. degree in Mathematics in 1957...

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Format:HardcoverDimensions:496 pages, 9.25 × 6.1 × 0.04 inPublished:March 19, 2008Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387758933

ISBN - 13:9780387758930

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Table of Contents

Basic Ideas of Special Functions and Statistical Distributions.- Mittag-Leffler Functions and Fractional Calculus.- An Introduction to q-Series.- Ramanujan's Theories of Theta and Elliptic Functions.- Lie Group and Special Functions.- Applications to Density Estimation. - Applications to Order Statistics.- Applications to Astrophysics Problems.- An Introduction to Wavelet Analysis.- Jacobians of Matrix Transformations.- Special Functions of Matrix Argument.

Editorial Reviews

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)