The H Function PDF Download
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Author | : A.M. Mathai |
Publisher | : Springer Science & Business Media |
Total Pages | : 276 |
Release | : 2009-10-10 |
Genre | : Science |
ISBN | : 1441909168 |
Download The H-Function Book in PDF, ePub and Kindle
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.
Author | : H. M. Srivastava |
Publisher | : |
Total Pages | : 324 |
Release | : 1982 |
Genre | : Functions of complex variables |
ISBN | : |
Download The H-functions of One and Two Variables, with Applications Book in PDF, ePub and Kindle
On special functions of mathematical analysis concerning single and double contour integrals.
Author | : A. M. Mathai |
Publisher | : John Wiley & Sons |
Total Pages | : 214 |
Release | : 1978 |
Genre | : Mathematics |
ISBN | : |
Download The H-function with Applications in Statistics and Other Disciplines Book in PDF, ePub and Kindle
Author | : R.E. Greene |
Publisher | : Springer |
Total Pages | : 219 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540355367 |
Download Function Theory on Manifolds Which Possess a Pole Book in PDF, ePub and Kindle
Author | : Harry Dym |
Publisher | : Courier Corporation |
Total Pages | : 354 |
Release | : 2008-01-01 |
Genre | : Mathematics |
ISBN | : 048646279X |
Download Gaussian Processes, Function Theory, and the Inverse Spectral Problem Book in PDF, ePub and Kindle
This text offers background in function theory, Hardy functions, and probability as preparation for surveys of Gaussian processes, strings and spectral functions, and strings and spaces of integral functions. It addresses the relationship between the past and the future of a real, one-dimensional, stationary Gaussian process. 1976 edition.
Author | : Herbert Buchholz |
Publisher | : Springer Science & Business Media |
Total Pages | : 255 |
Release | : 2013-11-22 |
Genre | : Science |
ISBN | : 3642883966 |
Download The Confluent Hypergeometric Function Book in PDF, ePub and Kindle
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.
Author | : Sheldon Axler |
Publisher | : Springer Science & Business Media |
Total Pages | : 266 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1475781377 |
Download Harmonic Function Theory Book in PDF, ePub and Kindle
This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Author | : Godfrey Harold Hardy |
Publisher | : |
Total Pages | : 76 |
Release | : 1905 |
Genre | : Calculus, Integral |
ISBN | : |
Download The Integration of Functions of a Single Variable Book in PDF, ePub and Kindle
Author | : W. Rudin |
Publisher | : Springer Science & Business Media |
Total Pages | : 449 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461380987 |
Download Function Theory in the Unit Ball of Cn Book in PDF, ePub and Kindle
Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction.
Author | : Yashwant Singh |
Publisher | : |
Total Pages | : 180 |
Release | : 2016-06-22 |
Genre | : |
ISBN | : 9783659827778 |
Download Some Properties of H-function of Two Variables with Applications Book in PDF, ePub and Kindle