[PDF] Handbook Of Special Functions eBook

Author : Annie A.M. Cuyt
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 49,64 MB
Release : 2008-04-12
Category : Mathematics
ISBN : 1402069499

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Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, the Handbook of mathematical functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies! But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website!

Author : Milton Abramowitz
Publisher : Courier Corporation
Page : 1068 pages
File Size : 27,28 MB
Release : 1965-01-01
Category : Mathematics
ISBN : 9780486612720

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An extensive summary of mathematical functions that occur in physical and engineering problems

Author : Wolfgang Schweizer
Publisher : Springer Nature
Page : 282 pages
File Size : 27,41 MB
Release : 2021-03-25
Category : Science
ISBN : 3030642321

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This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.

Author : Yury A. Brychkov
Publisher : CRC Press
Page : 702 pages
File Size : 36,31 MB
Release : 2008-05-28
Category : Mathematics
ISBN : 158488956X

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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 : Frank W. J. Olver
Publisher : Cambridge University Press
Page : 968 pages
File Size : 14,77 MB
Release : 2010-05-17
Category : Mathematics
ISBN : 0521192250

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The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

Author : A. M. Mathai
Publisher : Oxford University Press, USA
Page : 264 pages
File Size : 38,76 MB
Release : 1993
Category : Mathematics
ISBN :

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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 : Wilhelm Magnus
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 42,26 MB
Release : 2013-11-11
Category : Science
ISBN : 3662117614

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This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathe matischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these additions will be useful and yet not too numerous for the purpose of locating .with ease any particular result. Compared to the first two (German) editions a change has taken place as far as the list of references is concerned. They are generally restricted to books and monographs and accomodated at the end of each individual chapter. Occasional references to papers follow those results to which they apply. The authors felt a certain justification for this change. At the time of the appearance of the previous edition nearly twenty years ago much of the material was scattered over a number of single contributions. Since then most of it has been included in books and monographs with quite exhaustive bibliographies. For information about numerical tables the reader is referred to "Mathematics of Computation", a periodical publis hed by the American Mathematical Society; "Handbook of Mathe matical Functions" with formulas, graphs and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, 1964, 1046 pp., Government Printing Office, Washington, D.C., and FLETCHER, MILLER, ROSENHEAD, Index of Mathematical Tables, Addison-Wesley, Reading, Mass.) .. There is a list of symbols and abbreviations at the end of the book.

Author : Nico M. Temme
Publisher : John Wiley & Sons
Page : 398 pages
File Size : 28,32 MB
Release : 1996-02-22
Category : Mathematics
ISBN : 9780471113133

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This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.

Author : George E. Andrews
Publisher : Cambridge University Press
Page : 684 pages
File Size : 11,88 MB
Release : 1999
Category : Mathematics
ISBN : 9780521789882

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An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.

Author : Z. X. Wang
Publisher : World Scientific
Page : 720 pages
File Size : 41,39 MB
Release : 1989
Category : Mathematics
ISBN : 9789971506674

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Contains the various principal special functions in common use and their basic properties and manipulations. Discusses expansions of functions in infinite series and infinite product and the asymptotic expansion of functions. For physicists, engineers, and mathematicians. Acidic paper. Paper edition (unseen), $38. Annotation copyrighted by Book News, Inc., Portland, OR