TheH-function or popularly known in the literature as Fox'sH-function has recently found applications in a large variety of problems connected with reaction, diffusion, reaction-diffusion, engineering and communication, fractional differ- tial and integral equations, many areas of theoretical physics, statistical distribution theory, etc. One of the standard books and most cited book on the topic is the 1978 book of Mathai and Saxena. Since then, the subject has grown a lot, mainly in the elds of applications. Due to popular demand, the authors were requested to - grade and bring out a revised edition of the 1978 book. It was decided to bring out a new book, mostly dealing with recent applications in statistical distributions, pa- way models, nonextensive statistical mechanics, astrophysics problems, fractional calculus, etc. and to make use of the expertise of Hans J. Haubold in astrophysics area also. It was decided to con ne the discussion toH-function of one scalar variable only. Matrix variable cases and many variable cases are not discussed in detail, but an insight into these areas is given. When going from one variable to many variables, there is nothing called a unique bivariate or multivariate analogue of a givenfunction. Whatever be the criteria used, there may be manydifferentfunctions quali ed to be bivariate or multivariate analogues of a given univariate function. Some of the bivariate and multivariateH-functions, currently in the literature, are also questioned by many authors.
Reviews / Votes
From the reviews:
"The book is devoted to the study of properties of Fox's H-function and to the description of modern applications of this function. . also contains an extended Bibliography on the subject, a Glossary of Symbols, and Indexes. . combines the features of a research monograph, a table of special functions, as well as of a textbook for those who intend to apply the properties of the H-function in their research." (Sergei V. Rogosin, Zentralblatt MATH, Vol. 1181, 2010)
"It is fairly comprehensive, competently researched, and as thoroughly up-to-date as a book can be, as well as being well organized, very well and very clearly written, authoritative and useful. . easily accessible to a beginner in the field as well as extremely valuable reference source for those who know the matter well. . It is an ideal book for those wishing to start research in this area and it can be used readily as a textbook in a one-semester graduate course on H-functions." (Djurdje Cvijovic, Mathematical Reviews, Issue 2011 j)
Edition
Language
Place of publication
Target group
Professional and scholarly
Research
Illustrations
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
ISBN-13
978-1-4899-8458-6 (9781489984586)
DOI
10.1007/978-1-4419-0916-9
Schweitzer Classification
A.M. Mathai is Emeritus Professor of Mathematics and Statistics, McGill University, Canada, and Director of the Centre for Mathematical and Statistical Sciences, India. He has published over 300 research papers and 25 books on topics in mathematics, statistics, physics, astrophysics, chemistry, and biology. He is a Fellow of the Institute of Mathematical Statistics, National Academy of Sciences of India, served as President of the Mathematical Society of India, and a Member of the International Statistical Institute.
H.J. Haubold is Professor of Theoretical Astrophysics. He has published over 200 research papers and 10 books in physics, astrophysics, and the development of basic space science worldwide. The United Nations Basic Space Science Initiative (UN BSSI) for the worldwide development of astronomy, physics, and mathematics was implemented in 1991 through the joint work of H.J Haubold and A.M. Mathai.
On the H-Function With Applications.- H-Function in Science and Engineering.- Fractional Calculus.- Applications in Statistics.- Functions of Matrix Argument.- Applications in Astrophysics Problems.
