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The H-Function
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The H-Function - neues Buch

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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The H-Function - A. M. Mathai
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The H-Function - neues Buch

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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The H-Function: Theory and Applications - A.M. Mathai, Ram Kishore Saxena, Hans J. Haubold
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A.M. Mathai, Ram Kishore Saxena, Hans J. Haubold:
The H-Function: Theory and Applications - neues Buch

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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The H-Function: Theory and Applications - Mathai, A. M. / Saxena, Ram Kishore / Haubold, Hans J.
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Mathai, A. M. / Saxena, Ram Kishore / Haubold, Hans J.:
The H-Function: Theory and Applications - gebrauchtes Buch

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]

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Details zum Buch
The H-Function: Theory and Applications
Autor:

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

Titel:

The H-Function: Theory and Applications

ISBN-Nummer:

9781441909152

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.

Detailangaben zum Buch - The H-Function: Theory and Applications


EAN (ISBN-13): 9781441909152
ISBN (ISBN-10): 144190915X
Gebundene Ausgabe
Erscheinungsjahr: 2009
Herausgeber: Springer-Verlag GmbH
270 Seiten
Gewicht: 0,566 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 31.05.2007 15:40:43
Buch zuletzt gefunden am 22.09.2016 09:08:35
ISBN/EAN: 9781441909152

ISBN - alternative Schreibweisen:
1-4419-0915-X, 978-1-4419-0915-2

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