The H-Function: Theory and Applications - Couverture souple

Mathai, A.M.; Saxena, Ram Kishore; Haubold, Hans J.

 
9781489984586: The H-Function: Theory and Applications

Synopsis

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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Présentation de l'éditeur

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.

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Autres éditions populaires du même titre

9781441909152: The H-function: Theory and Applications

Edition présentée

ISBN 10 :  144190915X ISBN 13 :  9781441909152
Editeur : Springer-Verlag New York Inc., 2009
Couverture rigide