TY  - BOOK
AU  - Mathai,A.M.
AU  - Saxena,Ram Kishore
AU  - Haubold,H.J.
TI  - The H-function: theory and applications 
SN  - 9781441909152
AV  - QA353.H9 M384 2010
PY  - 2010///
CY  - New York
PB  - Springer
KW  - H-functions
N1  - Includes bibliographical references and index; 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; - Glossary; - Author Index; - Subject Index
N2  - This text begins with definitions, contours, existence conditions and particular cases of the H-function. It then explores various H-function applications such as in statistical distribution theory, generalized distributions, Mathai’s pathway models and more; 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, et cetera 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, et cetera 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
ER  -