The Practical Importance Of The Confluent Hypergeometric Function
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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.
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.
An Introduction To Hypergeometric Supertrigonometric And Superhyperbolic Functions
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Author : Xiao-Jun Yang
language : en
Publisher: Academic Press
Release Date : 2021-01-23
An Introduction To Hypergeometric Supertrigonometric And Superhyperbolic Functions written by Xiao-Jun Yang and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-23 with Mathematics categories.
An Introduction to Hypergeometric, Supertigonometric, and Superhyperbolic Functions gives a basic introduction to the newly established hypergeometric, supertrigonometric, and superhyperbolic functions from the special functions viewpoint. The special functions, such as the Euler Gamma function, the Euler Beta function, the Clausen hypergeometric series, and the Gauss hypergeometric have been successfully applied to describe the real-world phenomena that involve complex behaviors arising in mathematics, physics, chemistry, and engineering. - Provides a historical overview for a family of the special polynomials - Presents a logical investigation of a family of the hypergeometric series - Proposes a new family of the hypergeometric supertrigonometric functions - Presents a new family of the hypergeometric superhyperbolic functions
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.
The Confluent Hypergeometric Function With Special Emphasis On Its Applications
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Author : Herbert Buchholz
language : en
Publisher:
Release Date : 1969
The Confluent Hypergeometric Function With Special Emphasis On Its Applications written by Herbert Buchholz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Zeta And Q Zeta Functions And Associated Series And Integrals
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Author : Hari M Srivastava
language : en
Publisher: Elsevier
Release Date : 2011-10-11
Zeta And Q Zeta Functions And Associated Series And Integrals written by Hari M Srivastava and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-11 with Mathematics categories.
Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals. - Detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions
On The Function H M A X
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Author : Arnold Noah Lowan
language : en
Publisher:
Release Date : 1942
On The Function H M A X written by Arnold Noah Lowan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942 with Exponential functions categories.
Series Associated With The Zeta And Related Functions
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Author : Hari M. Srivastava
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Series Associated With The Zeta And Related Functions written by Hari M. Srivastava 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 2001 with Mathematics categories.
In recent years there has been an increasing interest in problems involving closed form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as) various families of series associated with the Riemann Zeta function ((s), the Hurwitz Zeta function ((s,a), and their such extensions and generalizations as (for example) Lerch's transcendent (or the Hurwitz-Lerch Zeta function) iI>(z, s, a). Some of these developments have apparently stemmed from an over two-century-old theorem of Christian Goldbach (1690-1764), which was stated in a letter dated 1729 from Goldbach to Daniel Bernoulli (1700-1782), from recent rediscoveries of a fairly rapidly convergent series representation for ((3), which is actually contained in a 1772 paper by Leonhard Euler (1707-1783), and from another known series representation for ((3), which was used by Roger Apery (1916-1994) in 1978 in his celebrated proof of the irrationality of ((3). This book is motivated essentially by the fact that the theories and applications of the various methods and techniques used in dealing with many different families of series associated with the Riemann Zeta function and its aforementioned relatives are to be found so far only"in widely scattered journal articles. Thus our systematic (and unified) presentation of these results on the evaluation and representation of the Zeta and related functions is expected to fill a conspicuous gap in the existing books dealing exclusively with these Zeta functions.
Technical Report
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Author : Aeronautical Research Council (Great Britain)
language : en
Publisher:
Release Date : 1971
Technical Report written by Aeronautical Research Council (Great Britain) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Aeronautics categories.
Includes its Reports, which are also issued separately.
On The Function H M A X Exp Ix F M 1 Ia 2m 2 2ix Mathematical Table Mt 19 Reissued June 15 1949
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Author : United States. National Bureau of Standards
language : en
Publisher:
Release Date : 1949
On The Function H M A X Exp Ix F M 1 Ia 2m 2 2ix Mathematical Table Mt 19 Reissued June 15 1949 written by United States. National Bureau of Standards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Exponential functions categories.