Generalized Hypergeometric Functions
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The Confluent Hypergeometric Function
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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.
Generalized Hypergeometric Functions With Applications In Statistics And Physical Sciences
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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.
Generalized Hypergeometric Functions
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Author : K. Srinivasa Rao
language : en
Publisher:
Release Date : 2018
Generalized Hypergeometric Functions written by K. Srinivasa Rao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Hypergeometric functions categories.
"In 1813, Gauss first outlined his studies of the hypergeometric series which has been of great significance in the mathematical modelling of physical phenomena. This detailed monograph outlines the fundamental relationships between the hypergeometric function and special functions. In nine comprehensive chapters, Dr. Rao and Dr. Lakshminarayanan present a unified approach to the study of special functions of mathematics using Group theory. The book offers fresh insight into various aspects of special functions and their relationship, utilizing transformations and group theory and their applications. It will lay the foundation for deeper understanding by both experienced researchers and novice students." -- Prové de l'editor.
Generalized Hypergeometric Functions
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Author : Shobh Nath Singh
language : en
Publisher:
Release Date : 1993
Generalized Hypergeometric Functions written by Shobh Nath Singh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Hypergeometric functions categories.
Basic Hypergeometric Series
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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.
Generalized Hypergeometric Functions With Applications In Statistics And Physical Sciences
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Author : A. M. Mathai
language : en
Publisher: Springer
Release Date : 2006-11-15
Generalized Hypergeometric Functions With Applications In Statistics And Physical Sciences written by A. M. Mathai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Generalized Hypergeometric Functions
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Author : Lucy Joan Slater
language : en
Publisher:
Release Date : 1966
Generalized Hypergeometric Functions written by Lucy Joan Slater and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Hypergeometric functions categories.
Generalized Hypergeometric Series
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Author : Wilfrid Norman Bailey
language : en
Publisher:
Release Date : 1935
Generalized Hypergeometric Series written by Wilfrid Norman Bailey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1935 with Mathematics categories.
Inequalities For Generalized Hypergeometric Functions
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Author : Yudell L. Luke
language : en
Publisher:
Release Date : 1970
Inequalities For Generalized Hypergeometric Functions written by Yudell L. Luke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Hypergeometric functions categories.
Basic Hypergeometric Series And Applications
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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.