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 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 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 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 Gaussian Processes Function Theory and the Inverse Spectral Problem written by Harry Dym and published by Courier Corporation. This book was released on 2008-01-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Function Theory in the Unit Ball of Cn written by W. Rudin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 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 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 Advanced R written by Hadley Wickham and published by CRC Press. This book was released on 2015-09-15 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Essential Reference for Intermediate and Advanced R Programmers Advanced R presents useful tools and techniques for attacking many types of R programming problems, helping you avoid mistakes and dead ends. With more than ten years of experience programming in R, the author illustrates the elegance, beauty, and flexibility at the heart of R. The book develops the necessary skills to produce quality code that can be used in a variety of circumstances. You will learn: The fundamentals of R, including standard data types and functions Functional programming as a useful framework for solving wide classes of problems The positives and negatives of metaprogramming How to write fast, memory-efficient code This book not only helps current R users become R programmers but also shows existing programmers what’s special about R. Intermediate R programmers can dive deeper into R and learn new strategies for solving diverse problems while programmers from other languages can learn the details of R and understand why R works the way it does.
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 Science written by John Michels (Journalist) and published by . This book was released on 1903 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1911-13 contain the Proceedings of the Helminothological Society of Washington, ISSN 0018-0120, 1st-15th meeting.
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 Mathematical Computational Intelligence and Engineering Approaches for Tourism Agriculture and Healthcare written by Pankaj Srivastava and published by Springer Nature. This book was released on 2021-10-19 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the 17th FAI International Conference on Engineering, Mathematical and Computational Intelligence (ICEMCI 2019), held at Jabalpur Engineering College, India, from 21–23 December 2019. This book discusses mathematical, computational intelligence and engineering approaches for tourism, agriculture and health care. It is a unique combination of a wide spectrum of topics, such as tourism destination ranking, medical diagnosis-based intelligent systems, drivers for hotel objectives, irrigation systems and more, which are discussed by using fuzzy, statistical and neural network tools. This book will be valuable to faculty members, postgraduate students, research scholars as well as readers from the industrial sector.
Download or read book An Arithmetical Theory of Certain Numerical Functions written by Eric Temple Bell and published by . This book was released on 1915 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Function Theory of Several Complex Variables written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2001 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
