ISBN: 9781441909152
ID: 9436871
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. 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. Books, Science and Geography~~Mathematics~~Calculus & Mathematical Analysis, The H-Function~~Book~~9781441909152~~ A.M. Mathai, Hans J. Haubold, Ram Kishore Saxena, , , , , , , , , ,, [PU: Springer]
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30, ISBN: 9781441909152
[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - 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., [SC: 0.00]
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ISBN: 9781441909152
ID: 978144190915
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, 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, Mathai''s 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. A.M. Mathai, Ram Kishore Saxena, Hans J. Haubold, Books, Science and Nature, The H-Function: Theory and Applications Books>Science and Nature, Springer New York
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ISBN: 9781441909152
ID: 6748502
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, 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, Mathai's 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. The H-Function: Theory and Applications Mathai, A. M. / Saxena, Ram Kishore / Haubold, Hans J., Springer
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2009, ISBN: 144190915X
ID: A6901095
Gebundene Ausgabe Dynamisches System, Statistik, mit Schutzumschlag neu, [PU:Springer-Verlag GmbH]
Achtung-Buecher.de
REDIVIVUS Buchhandlung Hanausch Reinhard, 93053 Regensburg
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Title: | The H-Function: Theory and Applications |
ISBN: | 144190915X |
Details of the book - The H-Function: Theory and Applications
EAN (ISBN-13): 9781441909152
ISBN (ISBN-10): 144190915X
Hardcover
Publishing year: 2009
Publisher: Springer-Verlag GmbH
270 Pages
Weight: 0,566 kg
Language: eng/Englisch
Book in our database since 31.05.2007 15:40:43
Book found last time on 22.09.2016 09:08:35
ISBN/EAN: 144190915X
ISBN - alternate spelling:
1-4419-0915-X, 978-1-4419-0915-2
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