Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Handbook Of Hypergeometric Integrals full books in PDF, epub, and Kindle. Read online Handbook Of Hypergeometric Integrals ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Harold Exton
Publisher :
ISBN 13 : 9780853121220
Total Pages : 316 pages
Book Rating : 4.1/5 (212 download)
Download or read book Handbook of Hypergeometric Integrals written by Harold Exton and published by . This book was released on 1978-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold Exton
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)
Download or read book Handbook of Hypergeometric Integrals written by Harold Exton and published by . This book was released on 1978 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kazuhiko Aomoto
Publisher : Springer Science & Business Media
ISBN 13 : 4431539387
Total Pages : 327 pages
Book Rating : 4.4/5 (315 download)
Download or read book Theory of Hypergeometric Functions written by Kazuhiko Aomoto and published by Springer Science & Business Media. This book was released on 2011-05-21 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally satisfy a holonomic system of linear differential equations with respect to the coefficients of polynomials and also satisfy a holonomic system of linear difference equations with respect to the exponents. These are deduced from Grothendieck-Deligne’s rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoff’s classical theory on analytic difference equations on the other.
Author : Herbert Buchholz
Publisher : Springer Science & Business Media
ISBN 13 : 3642883966
Total Pages : 255 pages
Book Rating : 4.6/5 (428 download)
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.
Author : Yury A. Brychkov
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781439828984
Total Pages : 0 pages
Book Rating : 4.8/5 (289 download)
Download or read book Handbook of Integrals and Series written by Yury A. Brychkov and published by Chapman and Hall/CRC. This book was released on 2017-10-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook presents many known results as well as new classes of integrals, series, power expansions, and productions of elementary and special functions. It shows how modern computer algebra methods are used to solve various problems in science and engineering. The second volume of the set contains formulas devoted to mathematical physics, including the Meijer G-function and properties of hypergeometric functions. Using these tools, readers can evaluate and simplify numerous new integrals and sums.
Author : Yury A. Brychkov
Publisher : CRC Press
ISBN 13 : 158488956X
Total Pages : 702 pages
Book Rating : 4.5/5 (848 download)
Download or read book Handbook of Special Functions written by Yury A. Brychkov and published by CRC Press. This book was released on 2008-05-28 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods. The Handbook of Special Functions provides in-depth coverage of special functions, which are used to help solve many of the most difficult problems in physics, engineering, and mathematics. The book presents new results along with well-known formulas used in many of the most important mathematical methods in order to solve a wide variety of problems. It also discusses formulas of connection and conversion for elementary and special functions, such as hypergeometric and Meijer G functions.
Author : George Gasper
Publisher :
ISBN 13 : 0511889186
Total Pages : 456 pages
Book Rating : 4.5/5 (118 download)
Download or read book Basic Hypergeometric Series written by George Gasper and published by . This book was released on 2011-02-25 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significant revision of classic reference in special functions.
Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 0203881052
Total Pages : 1143 pages
Book Rating : 4.2/5 (38 download)
Download or read book Handbook of Integral Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2008-02-12 with total page 1143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
Author : Peter Orlik
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (883 download)
Download or read book Arrangements and Hypergeometric Integrals written by Peter Orlik and published by . This book was released on 2007 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Milton Abramowitz
Publisher : Courier Corporation
ISBN 13 : 9780486612720
Total Pages : 1068 pages
Book Rating : 4.6/5 (127 download)
Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems
Author : S.B. Yakubovich
Publisher : Springer Science & Business Media
ISBN 13 : 9401111960
Total Pages : 335 pages
Book Rating : 4.4/5 (11 download)
Download or read book The Hypergeometric Approach to Integral Transforms and Convolutions written by S.B. Yakubovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of integrals. We hope that this simple approach, which will be explained below, allows students, post graduates in mathematics, physicists and technicians, and serious mathematicians and researchers to find in this book new interesting results in the theory of integral transforms, special functions, and convolutions. The idea of this approach can be found in various papers of many authors, but systematic discussion and development is realized in this book for the first time. Let us explain briefly the basic points of this approach. As it is known, in the theory of special functions and its applications, the hypergeometric functions play the main role. Besides known elementary functions, this class includes the Gauss's, Bessel's, Kummer's, functions et c. In general case, the hypergeometric functions are defined as a linear combinations of the Mellin-Barnes integrals. These ques tions are extensively discussed in Chapter 1. Moreover, the Mellin-Barnes type integrals can be understood as an inversion Mellin transform from the quotient of products of Euler's gamma-functions. Thus we are led to the general construc tions like the Meijer's G-function and the Fox's H-function.
Author : George Gasper
Publisher : Cambridge University Press
ISBN 13 : 0521833574
Total Pages : 456 pages
Book Rating : 4.5/5 (218 download)
Download or read book Basic Hypergeometric Series written by George Gasper and published by Cambridge University Press. This book was released on 2004-10-04 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yury A. Brychkov
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781439829004
Total Pages : 2688 pages
Book Rating : 4.8/5 (29 download)
Download or read book Handbook Of Integrals and Series Set (Volumes I and II) written by Yury A. Brychkov and published by Chapman and Hall/CRC. This book was released on 2016-02-15 with total page 2688 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook presents many known results as well as new classes of integrals, series, power expansions, and productions of elementary and special functions. It shows how modern computer algebra methods are used to solve various problems in science and engineering. The first volume of the set focuses on elementary functions, covering indefinite and definite integrals, finite sums, and indefinite series. It also includes formulas that can be used in the evaluation and transformation of integrals and series. The second volume of the set contains formulas devoted to mathematical physics, including the Meijer G-function and properties of hypergeometric functions. Using these tools, readers can evaluate and simplify numerous new integrals and sums.
Author : A. M. Mathai
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Handbook of Generalized Special Functions for Statistical and Physical Sciences written by A. M. Mathai and published by Oxford University Press, USA. This book was released on 1993 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complicated generalized special functions such as Meijer's G-functions and functions of matrix arguments are here presented at a level suitable for every potential user. This handbook is thus a valuable reference source and a manual for researchers and advanced students in mathematical statistics, mathematical physics, several branches of mathematics, engineering problems, econometrics, and various applied areas where transcendental functions are used.
Author : V Mangulis
Publisher : Elsevier
ISBN 13 : 0323161030
Total Pages : 143 pages
Book Rating : 4.3/5 (231 download)
Download or read book Handbook of Series for Scientists and Engineers written by V Mangulis and published by Elsevier. This book was released on 2012-12-02 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Series for Scientists and Engineers is a handbook of mathematical series for scientists and engineers and includes tables analogous to tables of integrals. The method of expanding a function in a series is described, and the most common expansions and sums are given. Most of the series are valid for complex values of the variable, and the symbols z, ?, ? always denote a complex variable. A glossary of symbols is included. Comprised of three parts, this book begins with an introduction to some basic rules for operations with series, focusing on convergence tests and operations with convergent series. Expansion methods and some summation methods are also considered. The second part focuses on the expansions of frequently used functions in various series, and includes chapters that discuss rational and irrational algebraic expressions; trigonometric functions and logarithmic functions; exponential functions and hyperbolic functions; and Legendre polynomials and functions. The third part lists sums of series, arranged according to the features of the general term in the series, such as series involving only natural numbers; series of algebraic functions; series of Bessel functions and related functions; and series of Legendre functions. This monograph is intended for scientists and engineers as well as mathematicians.
Author : Oleg Igorevich Marichev
Publisher : Ellis Horwood
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.3/5 (91 download)
Download or read book Handbook of Integral Transforms of Higher Transcendental Functions written by Oleg Igorevich Marichev and published by Ellis Horwood. This book was released on 1983 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold Exton
Publisher : Ellis Horwood
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (44 download)
Download or read book Multiple Hypergeometric Functions and Applications written by Harold Exton and published by Ellis Horwood. This book was released on 1976 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
