Basic Hypergeometric Series And Applications

DOWNLOAD

Download Basic Hypergeometric Series And Applications PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Basic Hypergeometric Series And Applications book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Basic Hypergeometric Series And Applications

DOWNLOAD
Author : Nathan Jacob Fine
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Basic Hypergeometric Series And Applications written by Nathan Jacob Fine and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. This book provides a simple approach to basic hypergeometric series.

Basic Hypergeometric Series

DOWNLOAD
Author : George Gasper
language : en
Publisher: Cambridge University Press
Release Date : 2004-10-04

Basic Hypergeometric Series written by George Gasper and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-04 with Mathematics categories.

This revised and expanded new edition will continue to meet the needs for an authoritative, up-to-date, self contained, and comprehensive account of the rapidly growing field of basic hypergeometric series, or q-series. Simplicity, clarity, deductive proofs, thoughtfully designed exercises, and useful appendices are among its strengths. The first five chapters cover basic hypergeometric series and integrals, whilst the next five are devoted to applications in various areas including Askey-Wilson integrals and orthogonal polynomials, partitions in number theory, multiple series, orthogonal polynomials in several variables, and generating functions. Chapters 9-11 are new for the second edition, the final chapter containing a simplified version of the main elements of the theta and elliptic hypergeometric series as a natural extension of the single-base q-series. Some sections and exercises have been added to reflect recent developments, and the Bibliography has been revised to maintain its comprehensiveness.

Q Hypergeometric Functions And Applications

DOWNLOAD
Author : Harold Exton
language : en
Publisher:
Release Date : 1983

Q Hypergeometric Functions And Applications written by Harold Exton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.

Basic Hypergeometric Series

DOWNLOAD
Author : George Gasper
language : en
Publisher:
Release Date : 2011-02-25

Basic Hypergeometric Series written by George Gasper and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-25 with Mathematics categories.

Significant revision of classic reference in special functions.

Basic Hypergeometric Series Applications

DOWNLOAD
Author : Nathan Jacob Fine
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-06-06

Basic Hypergeometric Series Applications written by Nathan Jacob Fine and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-06 with MATHEMATICS categories.

The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. This book provides a simple approach to basic hypergeometric series.

Hypergeometric Functions And Their Applications

DOWNLOAD
Author : James B. Seaborn
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09

Hypergeometric Functions And Their Applications written by James B. Seaborn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Science categories.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A wide range of problems exists in classical and quantum physics, engi neering, and applied mathematics in which special functions arise. The procedure followed in most texts on these topics (e. g. , quantum mechanics, electrodynamics, modern physics, classical mechanics, etc. ) is to formu late the problem as a differential equation that is related to one of several special differential equations (Hermite's, Bessel's, Laguerre's, Legendre's, etc. ).

Generalized Hypergeometric Functions With Applications In Statistics And Physical Sciences

DOWNLOAD
Author : A. M. Mathai
language : en
Publisher:
Release Date : 1973

Generalized Hypergeometric Functions With Applications In Statistics And Physical Sciences written by A. M. Mathai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.

Special Functions

DOWNLOAD
Author : George E. Andrews
language : en
Publisher: Cambridge University Press
Release Date : 1999

Special Functions written by George E. Andrews and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.

The Confluent Hypergeometric Function

DOWNLOAD
Author : Herbert Buchholz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22

The Confluent Hypergeometric Function written by Herbert Buchholz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Social Science categories.

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.

Q Series With Applications To Combinatorics Number Theory And Physics

DOWNLOAD
Author : Bruce C. Berndt
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Q Series With Applications To Combinatorics Number Theory And Physics written by Bruce C. Berndt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

The subject of $q$-series can be said to begin with Euler and his pentagonal number theorem. In fact, $q$-series are sometimes called Eulerian series. Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt at a systematic development, especially from the point of view of studying series with the products in the summands, was made by E. Heine in 1847. In the latter part of the nineteenth and in the early part of the twentieth centuries, two Englishmathematicians, L. J. Rogers and F. H. Jackson, made fundamental contributions. In 1940, G. H. Hardy described what we now call Ramanujan's famous $ 1\psi 1$ summation theorem as ``a remarkable formula with many parameters.'' This is now one of the fundamental theorems of the subject. Despite humble beginnings,the subject of $q$-series has flourished in the past three decades, particularly with its applications to combinatorics, number theory, and physics. During the year 2000, the University of Illinois embraced The Millennial Year in Number Theory. One of the events that year was the conference $q$-Series with Applications to Combinatorics, Number Theory, and Physics. This event gathered mathematicians from the world over to lecture and discuss their research. This volume presents nineteen of thepapers presented at the conference. The excellent lectures that are included chart pathways into the future and survey the numerous applications of $q$-series to combinatorics, number theory, and physics.