Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions

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Publisher : Cambridge University Press
ISBN 13 : 1108916554
Total Pages : 442 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions by : Tom H. Koornwinder

Download or read book Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions written by Tom H. Koornwinder and published by Cambridge University Press. This book was released on 2020-10-15 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 2 covers multivariable special functions. When the Bateman project appeared, study of these was in an early stage, but revolutionary developments began to be made in the 1980s and have continued ever since. World-renowned experts survey these over the course of 12 chapters, each containing an extensive bibliography. The reader encounters different perspectives on a wide range of topics, from Dunkl theory, to Macdonald theory, to the various deep generalizations of classical hypergeometric functions to the several variables case, including the elliptic level. Particular attention is paid to the close relation of the subject with Lie theory, geometry, mathematical physics and combinatorics.

Encyclopedia of Special Functions: The Askey-Bateman Project

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9781107003736
Total Pages : 433 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Encyclopedia of Special Functions: The Askey-Bateman Project by : Tom H. Koornwinder

Download or read book Encyclopedia of Special Functions: The Askey-Bateman Project written by Tom H. Koornwinder and published by Cambridge University Press. This book was released on 2020-09-30 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 2 covers multivariable special functions. When the Bateman project appeared, study of these was in an early stage, but revolutionary developments began to be made in the 1980s and have continued ever since. World-renowned experts survey these over the course of 12 chapters, each containing an extensive bibliography. The reader encounters different perspectives on a wide range of topics, from Dunkl theory, to Macdonald theory, to the various deep generalizations of classical hypergeometric functions to the several variables case, including the elliptic level. Particular attention is paid to the close relation of the subject with Lie theory, geometry, mathematical physics and combinatorics.

Special Functions

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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.

Bounded Littlewood Identities

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Publisher : American Mathematical Soc.
ISBN 13 : 1470446901
Total Pages : 115 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Bounded Littlewood Identities by : Eric M. Rains

Download or read book Bounded Littlewood Identities written by Eric M. Rains and published by American Mathematical Soc.. This book was released on 2021-07-21 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternative to Macdonald’s partial fraction technique and results in the first examples of bounded Littlewood identities for Macdonald polynomials. These identities, which take the form of decomposition formulas for Macdonald polynomials of type (R, S) in terms of ordinary Macdonald polynomials, are q, t-analogues of known branching formulas for characters of the symplectic, orthogonal and special orthogonal groups. In the classical limit, our method implies that MacMahon’s famous ex-conjecture for the generating function of symmetric plane partitions in a box follows from the identification of GL(n, R), O(n) as a Gelfand pair. As further applications, we obtain combinatorial formulas for characters of affine Lie algebras; Rogers–Ramanujan identities for affine Lie algebras, complementing recent results of Griffin et al.; and quadratic transformation formulas for Kaneko–Macdonald-type basic hypergeometric series.

Special Functions

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Publisher :
ISBN 13 : 9780521170222
Total Pages : pages
Book Rating : 4.1/5 (72 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 . This book was released on 2014-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an overview of the area of special functions, focusing primarily on the hypergeometric functions and the associated hypergeometric series.

Orthogonal Polynomials of Several Variables

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Publisher : Cambridge University Press
ISBN 13 : 1107071895
Total Pages : 439 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Orthogonal Polynomials of Several Variables by : Charles F. Dunkl

Download or read book Orthogonal Polynomials of Several Variables written by Charles F. Dunkl and published by Cambridge University Press. This book was released on 2014-08-21 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.

Special Functions, $q$-Series and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 082180524X
Total Pages : 289 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Special Functions, $q$-Series and Related Topics by : Mourad Ismail

Download or read book Special Functions, $q$-Series and Related Topics written by Mourad Ismail and published by American Mathematical Soc.. This book was released on 1997 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, q-Series and Related Topics that was held in June 1995. The articles cover areas from quantum groups and their representations, multivariate special functions, q-series, and symbolic algebra techniques as well as the traditional areas of single-variable special functions. The book contains both pure and applied topics and reflects recent trends of research in the various areas of special functions.

Theory and Applications of Special Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 0387242333
Total Pages : 497 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Theory and Applications of Special Functions by : Mourad E. H. Ismail

Download or read book Theory and Applications of Special Functions written by Mourad E. H. Ismail and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. It also includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject.

Special Functions

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Publisher : World Scientific
ISBN 13 : 9789971506674
Total Pages : 720 pages
Book Rating : 4.5/5 (66 download)

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Book Synopsis Special Functions by : Z. X. Wang

Download or read book Special Functions written by Z. X. Wang and published by World Scientific. This book was released on 1989 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Handbook of Special Functions

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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.

An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18

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Publisher : Princeton University Press
ISBN 13 : 1400882370
Total Pages : 182 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 by : Clifford Truesdell

Download or read book An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 written by Clifford Truesdell and published by Princeton University Press. This book was released on 2016-03-02 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18, will be forthcoming.

The Special Functions and Their Approximations

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Publisher : Academic Press
ISBN 13 : 0080955606
Total Pages : 373 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis The Special Functions and Their Approximations by : Yudell L. Luke

Download or read book The Special Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.

Special Functions

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Publisher : John Wiley & Sons
ISBN 13 : 9780471113133
Total Pages : 398 pages
Book Rating : 4.1/5 (131 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 1996-02-22 with total page 398 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.

Theory and Application of Special Functions

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Publisher : Academic Press
ISBN 13 : 1483216160
Total Pages : 573 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Theory and Application of Special Functions by : Richard Askey

Download or read book Theory and Application of Special Functions written by Richard Askey and published by Academic Press. This book was released on 2014-05-10 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and Application of Special Functions contains the proceedings of the Advanced Seminar on Special Functions sponsored by the Mathematics Research Center of the University of Wisconsin-Madison and held from March 31 to April 2, 1975. The seminar tackled the theory and application of special functions and covered topics ranging from the asymptotic estimation of special functions to association schemes and coding theory. Some interesting results, conjectures, and problems are given. Comprised of 13 chapters, this book begins with a survey of computational methods in special functions, followed by a discussion on unsolved problems in the asymptotic estimation of special functions. The reader is then introduced to periodic Bernoulli numbers, summation formulas, and applications; problems and prospects for basic hypergeometric functions; and linear growth models with many types and multidimensional Hahn polynomials. Subsequent chapters explore two-variable analogues of the classical orthogonal polynomials; special functions of matrix and single argument in statistics; and some properties of the determinants of orthogonal polynomials. This monograph is intended primarily for students and practitioners of mathematics.

Special Functions 2000: Current Perspective and Future Directions

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Publisher : Springer Science & Business Media
ISBN 13 : 9401008183
Total Pages : 521 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Special Functions 2000: Current Perspective and Future Directions by : Joaquin Bustoz

Download or read book Special Functions 2000: Current Perspective and Future Directions written by Joaquin Bustoz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Advanced Study Institute brought together researchers in the main areas of special functions and applications to present recent developments in the theory, review the accomplishments of past decades, and chart directions for future research. Some of the topics covered are orthogonal polynomials and special functions in one and several variables, asymptotic, continued fractions, applications to number theory, combinatorics and mathematical physics, integrable systems, harmonic analysis and quantum groups, Painlevé classification.

Special Functions and Their Applications

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Publisher : Courier Corporation
ISBN 13 : 9780486606248
Total Pages : 340 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Special Functions and Their Applications by : Nikola? Nikolaevich Lebedev

Download or read book Special Functions and Their Applications written by Nikola? Nikolaevich Lebedev and published by Courier Corporation. This book was released on 1972-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Russian mathematician views the theoretical and practical aspects of special functions and illustrates their significance in problem solving in physics and engineering

Special Functions for Scientists and Engineers

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Publisher : Courier Corporation
ISBN 13 : 0486435210
Total Pages : 274 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Special Functions for Scientists and Engineers by : W. W. Bell

Download or read book Special Functions for Scientists and Engineers written by W. W. Bell and published by Courier Corporation. This book was released on 2004-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides undergraduates with a straightforward guide to special functions. Topics include the solution of 2nd-order differential equations in terms of power series; gamma and beta functions; Legendre polynomials and functions; Bessel functions; Hermite, Laguerre, and Chebyshev polynomials; more. Includes worked examples and problems with some hints and solutions. 1968 edition. 25 figures.