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The H-Function - Theory and Applications (Paperback, 2010 ed.)
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The H-Function - Theory and Applications (Paperback, 2010 ed.)
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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.
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