Download or read book The H Function written by A.M. Mathai and published by Springer Science & Business Media. This book was released on 2009-10-10 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The H functions of One and Two Variables with Applications written by H. M. Srivastava and published by . This book was released on 1982 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: On special functions of mathematical analysis concerning single and double contour integrals.
Download or read book The H function with Applications in Statistics and Other Disciplines written by A. M. Mathai and published by John Wiley & Sons. This book was released on 1978 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Properties of H function of Two Variables with Applications written by Yashwant Singh and published by . This book was released on 2016-06-22 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Confluent Hypergeometric Function written by Herbert Buchholz and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Finding an H function Distribution for the Sum of Independent H function Variates written by Carl Dinsmore Bodenschatz and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finding an H function distribution for the sum of independent H function variates written by Carl Dinsmore Bodenschatz and published by . This book was released on 1992 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Function and Dysfunction of Complement Factor H written by Mihály Józsi and published by Frontiers Media SA. This book was released on 2022-02-21 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Function Theory on Manifolds Which Possess a Pole written by R.E. Greene and published by Springer. This book was released on 2006-11-15 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book H Transforms written by Anatoly A. Kilbas and published by CRC Press. This book was released on 2004-03-17 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Kinetic Theory of Gases written by Leonard Benedict Loeb and published by . This book was released on 1927 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The H Function and Probability Density Functions of Certain Algebraic Combinations of Independent Random Variables with H Function Probability Distribution written by and published by . This book was released on 1981 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical technique is presented for determining the exact probability density function and cumulative distribution function of a sum of any number of terms involving any combination of products, quotients, and powers of independent random variables with H-function distributions. The H-function is the most general named function, encompassing as special cases most of the other special functions of mathematics and many of the classical statistical distributions. Its unique properties make it a powerful tool for statistical analysis. In particular, the product, quotient, and powers of independent H- function variates are also H-function variates, and the Laplace and Fourier transforms and the derivatives of an H-function are readily-determined H- functions. This dissertation provides background material, including history on H-functions and the algebra of random variables and definition, properties and special cases of the H-function. For determining whether convergence of a general Mellin-Barnes integral or an H-function occurs with left-half-plane versus right-half-plane summation of residues, evaluation guidelines are formally established and applied to the known special cases, the Laplace transform, and the derivatives of the H-function. Then, a new, improved formulation for evaluation of an H-function by summing residues is derived.
Download or read book The Theory and Use of Indicators written by Edmund Brydges Rudhall Prideaux and published by . This book was released on 1917 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Mechanics Based on the Law of Newton written by Carl Vilhelm Ludwig Charlier and published by . This book was released on 1917 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of Information Theory written by Amiel Feinstein and published by . This book was released on 1958 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book AD A 141 045 written by Carl D. Bodenschatz and published by . This book was released on 1983 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The H-function is the most general special function, encompassing as specific cases many mathematical functions and nearly every continuous statistical distribution defined over positive x. A general procedure is developed to estimate the parameters of the H-function which gives the best fit to a set of data. The technique creates a system of nonlinear equations from the method of moments and uses Powell's quasi-Newton hybrid algorithm to solve the equations. A computer program, which can accept both raw data or previously calculated moments, implements the general process. Several new theoretical results are also presented. (Author).
