Author: A.M. Mathai
Publisher: Springer Science & Business Media
ISBN: 1441909168
Category : Science
Languages : en
Pages : 276
Book Description
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.
The H-Function
Author: A.M. Mathai
Publisher: Springer Science & Business Media
ISBN: 1441909168
Category : Science
Languages : en
Pages : 276
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1441909168
Category : Science
Languages : en
Pages : 276
Book Description
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.
The H-functions of One and Two Variables, with Applications
Author: H. M. Srivastava
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 324
Book Description
On special functions of mathematical analysis concerning single and double contour integrals.
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 324
Book Description
On special functions of mathematical analysis concerning single and double contour integrals.
The H-function with Applications in Statistics and Other Disciplines
Author: A. M. Mathai
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 214
Book Description
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 214
Book Description
Some Properties of H-function of Two Variables with Applications
Author: Yashwant Singh
Publisher:
ISBN: 9783659827778
Category :
Languages : en
Pages : 180
Book Description
Publisher:
ISBN: 9783659827778
Category :
Languages : en
Pages : 180
Book Description
The Confluent Hypergeometric Function
Author: Herbert Buchholz
Publisher: Springer Science & Business Media
ISBN: 3642883966
Category : Science
Languages : en
Pages : 255
Book Description
The subject of this book is the higher transcendental function known as the confluent hypergeometric function. In the last two decades this function has taken on an ever increasing significance because of its use in the application of mathematics to physical and technical problems. There is no doubt that this trend will continue until the general theory of confluent hypergeometric functions becomes familiar to the majority of physicists in much the same way as the cylinder functions, which were previously less well known, are now used in many engineering and physical problems. This book is intended to further this development. The important practical significance of the functions which are treated hardly demands an involved discussion since they include, as special cases, a number of simpler special functions which have long been the everyday tool of the physicist. It is sufficient to mention that these include, among others, the logarithmic integral, the integral sine and cosine, the error integral, the Fresnel integral, the cylinder functions and the cylinder function in parabolic cylindrical coordinates. For anyone who puts forth the effort to study the confluent hypergeometric function in more detail there is the inestimable advantage of being able to understand the properties of other functions derivable from it. This gen eral point of view is particularly useful in connection with series ex pansions valid for values of the argument near zero or infinity and in connection with the various integral representations.
Publisher: Springer Science & Business Media
ISBN: 3642883966
Category : Science
Languages : en
Pages : 255
Book Description
The subject of this book is the higher transcendental function known as the confluent hypergeometric function. In the last two decades this function has taken on an ever increasing significance because of its use in the application of mathematics to physical and technical problems. There is no doubt that this trend will continue until the general theory of confluent hypergeometric functions becomes familiar to the majority of physicists in much the same way as the cylinder functions, which were previously less well known, are now used in many engineering and physical problems. This book is intended to further this development. The important practical significance of the functions which are treated hardly demands an involved discussion since they include, as special cases, a number of simpler special functions which have long been the everyday tool of the physicist. It is sufficient to mention that these include, among others, the logarithmic integral, the integral sine and cosine, the error integral, the Fresnel integral, the cylinder functions and the cylinder function in parabolic cylindrical coordinates. For anyone who puts forth the effort to study the confluent hypergeometric function in more detail there is the inestimable advantage of being able to understand the properties of other functions derivable from it. This gen eral point of view is particularly useful in connection with series ex pansions valid for values of the argument near zero or infinity and in connection with the various integral representations.
Finding an H-function Distribution for the Sum of Independent H-function Variates
Author: Carl Dinsmore Bodenschatz
Publisher:
ISBN:
Category : Density functionals
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Density functionals
Languages : en
Pages : 0
Book Description
Finding an H-function distribution for the sum of independent H-function variates
Author: Carl Dinsmore Bodenschatz
Publisher:
ISBN:
Category : H-functions
Languages : en
Pages : 462
Book Description
Publisher:
ISBN:
Category : H-functions
Languages : en
Pages : 462
Book Description
Function and Dysfunction of Complement Factor H
Author: Mihály Józsi
Publisher: Frontiers Media SA
ISBN: 2889744442
Category : Medical
Languages : en
Pages : 175
Book Description
Publisher: Frontiers Media SA
ISBN: 2889744442
Category : Medical
Languages : en
Pages : 175
Book Description
Function Theory on Manifolds Which Possess a Pole
Author: R.E. Greene
Publisher: Springer
ISBN: 3540355367
Category : Mathematics
Languages : en
Pages : 219
Book Description
Publisher: Springer
ISBN: 3540355367
Category : Mathematics
Languages : en
Pages : 219
Book Description
H-Transforms
Author: Anatoly A. Kilbas
Publisher: CRC Press
ISBN: 0203487370
Category : Mathematics
Languages : en
Pages : 399
Book Description
Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific equations.
Publisher: CRC Press
ISBN: 0203487370
Category : Mathematics
Languages : en
Pages : 399
Book Description
Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific equations.