The H-Function A.M. Mathai

ISBN: 9781441909176

Published: October 11th 2009

Paperback

284 pages


Description

The H-Function  by  A.M. Mathai

The H-Function by A.M. Mathai
October 11th 2009 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 284 pages | ISBN: 9781441909176 | 5.13 Mb

The two main topics emphasized in this book, special functions and fractional calculus, are currently under fast development in theory and application to many problems in statistics, physics, and engineering, particularly in condensed matter physics,MoreThe two main topics emphasized in this book, special functions and fractional calculus, are currently under fast development in theory and application to many problems in statistics, physics, and engineering, particularly in condensed matter physics, plasma physics, and astrophysics.

The book begins by setting forth definitions, contours, existence conditions, and particular cases of the H-function. The authors then deal with Laplace, Fourier, Hankel, and other transforms. As these relations are explored, fractional calculus and its relations to H-functions emerge with important results on fractional differentiation and fractional integral operators.The latter chapters explore applications of H-functions in statistical distribution theory, structures of random variables, generalized distributions, Mathais pathway models, and versatile integrals.

The authors also present an introduction to functions of matrix argument, with special focus on the space of Hermitian positive matrices. The book concludes with the most recent applications of H-functions and fractional calculus to physical problems in reactions, diffusion, reaction-diffusion theory, statistics, superstatistics, and generalized entropies.



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