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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 : Peter Orlik
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (614 download)
Download or read book Arrangements and Hypergeometric Integrals written by Peter Orlik and published by . This book was released on with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : 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 : 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 : 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 : Alan Jeffrey
Publisher : Elsevier
ISBN 13 : 1483295141
Total Pages : 449 pages
Book Rating : 4.4/5 (832 download)
Download or read book Handbook of Mathematical Formulas and Integrals written by Alan Jeffrey and published by Elsevier. This book was released on 2014-05-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse. Special thumb-tab index throughout the book for ease of use Answers are keyed to the type of problem they solve Formulas are provided for problems across the entire spectrum of Mathematics All equations are sent from a computer-checked source code Companion to Gradshteyn: Table of Integrals, Series, and Products, Fifth Edition The following features make the Handbook a Better Value than its Competition: Less expensive More comprehensive Equations are computer-validated with Scientific WorkPlace(tm) and Mathematica(r) Superior quality from one of the most respected names in scientific and technical publishing Offers unique thumb-tab indexing throughout the book which makes finding answers quick and easy
Author : A. M. Mathai
Publisher : Springer
ISBN 13 : 3540378006
Total Pages : 322 pages
Book Rating : 4.5/5 (43 download)
Download or read book Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences written by A. M. Mathai and published by Springer. This book was released on 2006-11-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Chester Snow
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory written by Chester Snow and published by . This book was released on 1942 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chester Snow
Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.:/5 (31 download)
Download or read book Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory written by Chester Snow and published by . This book was released on 1952 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lucy Joan Slater
Publisher : Cambridge University Press
ISBN 13 : 052106483X
Total Pages : 0 pages
Book Rating : 4.5/5 (21 download)
Download or read book Generalized Hypergeometric Functions written by Lucy Joan Slater and published by Cambridge University Press. This book was released on 1966-01-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of generalized hypergeometric functions is fundamental in the field of mathematical physics, since all the commonly used functions of analysis (Besse] Functions, Legendre Functions, etc.) are special cases of the general functions. The unified theory provides a means for the analysis of the simpler functions and can be used to solve the more complicated equations in physics. The generalized Gauss function is also used in mathematical statistics and the basic analogues of the Gauss functions have applications in the field of number theory. Dr Slater's treatment leads on from a discussion of the Gauss functions to the basic hypergeometric functions, the hypergeometric integrals, bilateral series and Appel series. This book was planned jointly with the late Professor W. N. Bailey as an extended revision of his Cambridge Mathematical Tract (1935) on the subject and Dr Slater has continued it single-handed since Professor Bailey's death, incorporating in it the results of many of her own researches.
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 : 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.
