The Confluent Hypergeometric Function
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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.
The Practical Importance Of The Confluent Hypergeometric Function
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Author : H. A. Webb
language : en
Publisher:
Release Date : 1918
The Practical Importance Of The Confluent Hypergeometric Function written by H. A. Webb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1918 with categories.
Hypergeometric Functions And Their Applications
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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. ).
Handbook Of Mathematical Functions
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Author : Milton Abramowitz
language : en
Publisher: Courier Corporation
Release Date : 1965-01-01
Handbook Of Mathematical Functions written by Milton Abramowitz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-01-01 with Mathematics categories.
An extensive summary of mathematical functions that occur in physical and engineering problems
Integrals Of Bessel Functions
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Author : Yudell L. Luke
language : en
Publisher: Courier Corporation
Release Date : 2014-12-17
Integrals Of Bessel Functions written by Yudell L. Luke and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-17 with Mathematics categories.
A massive compendium of useful information, this volume represents a valuable tool for applied mathematicians in many areas of academia and industry. A dozen useful tables supplement the text. 1962 edition.
Special Functions Their Applications
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Author : N. N. Lebedev
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
Special Functions Their Applications written by N. N. Lebedev and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.
Special Functions Of Mathematics For Engineers
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Author : Larry C. Andrews
language : en
Publisher: SPIE Press
Release Date : 1998
Special Functions Of Mathematics For Engineers written by Larry C. Andrews and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Modern engineering and physical science applications demand a thorough knowledge of applied mathematics, particularly special functions. These typically arise in applications such as communication systems, electro-optics, nonlinear wave propagation, electromagnetic theory, electric circuit theory, and quantum mechanics. This text systematically introduces special functions and explores their properties and applications in engineering and science.
Confluent Hypergeometric Functions
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Author : Lucy Joan Slater
language : en
Publisher:
Release Date : 1960
Confluent 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 1960 with Mathematics categories.
Tables Of The Confluent Hypergeometric Function N 2 1 2 X And Related Functions
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Author :
language : en
Publisher:
Release Date : 1949
Tables Of The Confluent Hypergeometric Function N 2 1 2 X And Related Functions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with categories.