Handbook Of Special Functions

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Handbook of Continued Fractions for Special Functions

Author : Annie A.M. Cuyt
Publisher : Springer Science & Business Media
ISBN 13 : 1402069499
Total Pages : 430 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Continued Fractions for Special Functions by : Annie A.M. Cuyt

Download or read book Handbook of Continued Fractions for Special Functions written by Annie A.M. Cuyt and published by Springer Science & Business Media. This book was released on 2008-04-12 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

Special Functions

Author : George E. Andrews
Publisher : Cambridge University Press
ISBN 13 : 9780521789882
Total Pages : 684 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Special Functions by : George E. Andrews

Download or read book Special Functions written by George E. Andrews and published by Cambridge University Press. This book was released on 1999 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.

NIST Handbook of Mathematical Functions Hardback and CD-ROM

Author : Frank W. J. Olver
Publisher : Cambridge University Press
ISBN 13 : 0521192250
Total Pages : 968 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis NIST Handbook of Mathematical Functions Hardback and CD-ROM by : Frank W. J. Olver

Download or read book NIST Handbook of Mathematical Functions Hardback and CD-ROM written by Frank W. J. Olver and published by Cambridge University Press. This book was released on 2010-05-17 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

Handbook of Special Functions

Author : Yury A. Brychkov
Publisher : CRC Press
ISBN 13 : 158488956X
Total Pages : 702 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Handbook of Special Functions by : Yury A. Brychkov

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.

Handbook of Mathematical Functions

Author : Milton Abramowitz
Publisher : Courier Corporation
ISBN 13 : 9780486612720
Total Pages : 1068 pages
Book Rating : 4.6/5 (127 download)

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Book Synopsis Handbook of Mathematical Functions by : Milton Abramowitz

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

Special Functions in Physics with MATLAB

Author : Wolfgang Schweizer
Publisher : Springer Nature
ISBN 13 : 3030642321
Total Pages : 282 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Special Functions in Physics with MATLAB by : Wolfgang Schweizer

Download or read book Special Functions in Physics with MATLAB written by Wolfgang Schweizer and published by Springer Nature. This book was released on 2021-03-25 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Handbook of Generalized Special Functions for Statistical and Physical Sciences

Author : A. M. Mathai
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Handbook of Generalized Special Functions for Statistical and Physical Sciences by : A. M. Mathai

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.

Formulas and Theorems for the Special Functions of Mathematical Physics

Author : Wilhelm Magnus
Publisher : Springer Science & Business Media
ISBN 13 : 3662117614
Total Pages : 516 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Formulas and Theorems for the Special Functions of Mathematical Physics by : Wilhelm Magnus

Download or read book Formulas and Theorems for the Special Functions of Mathematical Physics written by Wilhelm Magnus and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Special Functions

Author : Nico M. Temme
Publisher : John Wiley & Sons
ISBN 13 : 1118030818
Total Pages : 392 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Special Functions by : Nico M. Temme

Download or read book Special Functions written by Nico M. Temme and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Mathematical Formulas and Integrals

Author : Alan Jeffrey
Publisher : Elsevier
ISBN 13 : 1483295141
Total Pages : 449 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Handbook of Mathematical Formulas and Integrals by : Alan Jeffrey

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

The Functions of Mathematical Physics

Author : Harry Hochstadt
Publisher : Courier Corporation
ISBN 13 : 0486168786
Total Pages : 354 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Functions of Mathematical Physics by : Harry Hochstadt

Download or read book The Functions of Mathematical Physics written by Harry Hochstadt and published by Courier Corporation. This book was released on 2012-04-30 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics. In the 18th and 19th centuries, the theorists who devoted themselves to this field — pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel — were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating membrane, some, such as those related to the theory of discontinuous groups, still remain of purely mathematical interest. Chapters One and Two examine orthogonal polynomials, with sections on such topics as the recurrence formula, the Christoffel-Darboux formula, the Weierstrass approximation theorem, and the application of Hermite polynomials to quantum mechanics. Chapter Three is devoted to the principal properties of the gamma function, including asymptotic expansions and Mellin-Barnes integrals. Chapter Four covers hypergeometric functions, including a review of linear differential equations with regular singular points, and a general method for finding integral representations. Chapters Five and Six are concerned with the Legendre functions and their use in the solutions of Laplace's equation in spherical coordinates, as well as problems in an n-dimension setting. Chapter Seven deals with confluent hypergeometric functions, and Chapter Eight examines, at length, the most important of these — the Bessel functions. Chapter Nine covers Hill's equations, including the expansion theorems.

Special Functions

Author : Richard Beals
Publisher : Cambridge University Press
ISBN 13 : 9780521197977
Total Pages : 466 pages
Book Rating : 4.1/5 (979 download)

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Book Synopsis Special Functions by : Richard Beals

Download or read book Special Functions written by Richard Beals and published by Cambridge University Press. This book was released on 2010-08-12 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference.

Handbook of Integrals and Series

Author : Yury A. Brychkov
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781439828984
Total Pages : 0 pages
Book Rating : 4.8/5 (289 download)

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Book Synopsis Handbook of Integrals and Series by : Yury A. Brychkov

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.

Special Functions for Optical Science and Engineering

Author : Vasudevan Lakshminarayanan
Publisher : SPIE-International Society for Optical Engineering
ISBN 13 : 9781628418873
Total Pages : 0 pages
Book Rating : 4.4/5 (188 download)

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Book Synopsis Special Functions for Optical Science and Engineering by : Vasudevan Lakshminarayanan

Download or read book Special Functions for Optical Science and Engineering written by Vasudevan Lakshminarayanan and published by SPIE-International Society for Optical Engineering. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial text is for those who use special functions in their work or study but are not mathematicians. Traditionally, special functions arise as solutions to certain linear second-order differential equations with variable coefficients. This book introduces these differential equations, their solutions, and their applications in optical science and engineering.

Numerical Methods for Special Functions

Author : Amparo Gil
Publisher : SIAM
ISBN 13 : 9780898717822
Total Pages : 431 pages
Book Rating : 4.7/5 (178 download)

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Book Synopsis Numerical Methods for Special Functions by : Amparo Gil

Download or read book Numerical Methods for Special Functions written by Amparo Gil and published by SIAM. This book was released on 2007-01-01 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).

Handbook of Function and Generalized Function Transformations

Author : Ahmed I. Zayed
Publisher : CRC Press
ISBN 13 : 0429605390
Total Pages : 684 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Handbook of Function and Generalized Function Transformations by : Ahmed I. Zayed

Download or read book Handbook of Function and Generalized Function Transformations written by Ahmed I. Zayed and published by CRC Press. This book was released on 2019-08-21 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems. The author has compiled the most important and widely used of these function transforms in applied mathematics and electrical engineering. In addition to classical transforms, newer transforms such as wavelets, Zak, and Radon are included. The book is neither a table of transforms nor a textbook, but it is a source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations.

The Mathematical-Function Computation Handbook

Author : Nelson H.F. Beebe
Publisher : Springer
ISBN 13 : 3319641107
Total Pages : 1145 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis The Mathematical-Function Computation Handbook by : Nelson H.F. Beebe

Download or read book The Mathematical-Function Computation Handbook written by Nelson H.F. Beebe and published by Springer. This book was released on 2017-08-20 with total page 1145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly comprehensive handbook provides a substantial advance in the computation of elementary and special functions of mathematics, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally useful, author-maintained MathCW website, containing source code for the book’s software, compiled libraries for numerous systems, pre-built C compilers, and other related materials; offers a unique approach to covering mathematical-function computation using decimal arithmetic; provides extremely versatile appendices for interfaces to numerous other languages: Ada, C#, C++, Fortran, Java, and Pascal; presupposes only basic familiarity with computer programming in a common language, as well as early level algebra; supplies a library that readily adapts for existing scripting languages, with minimal effort; supports both binary and decimal arithmetic, in up to 10 different floating-point formats; covers a significant portion (with highly accurate implementations) of the U.S National Institute of Standards and Technology’s 10-year project to codify mathematical functions. This highly practical text/reference is an invaluable tool for advanced undergraduates, recording many lessons of the intermingled history of computer hardw are and software, numerical algorithms, and mathematics. In addition, professional numerical analysts and others will find the handbook of real interest and utility because it builds on research by the mathematical software community over the last four decades.