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Computer algebra in quantum field theory : integration, summation and special functions

Author: Carsten Schneider; J Blümlein
Publisher: Wien : Springer, 2013.
Series: Texts & monographs in symbolic computation
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields:  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Computer algebra in quantum field theory
(OCoLC)855200603
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Carsten Schneider; J Blümlein
ISBN: 9783709116166 3709116163
OCLC Number: 861183206
Notes: Includes index.
Description: 1 online resource (xiv, 411 pages).
Contents: Harmonic sums, polylogarithms, special numbers, and their generalizations / Jakob Ablinger and Johannes Blümlein --
Multiple Zeta values and modular forms in quantum field theory / David Broadhurst --
Computer-assisted proofs of some identities for Bessel functions of fractional order / Stefan Gerhold and Manuel Kauers --
Conformal methods for massless Feynman integrals and large Nf methods / John A. Gracey --
The holonomic toolkit / Manuel Kauers --
Orthogonal polynomials / Tom H. Koornwinder --
Creative telescoping for holonomic functions / Christoph Koutschan --
Renormalization and Mellin transforms / Dirk Kreimer and Erik Panzer --
Relativistic Coulomb integrals and Zeilberger's holonomic systems approach / Peter Paule and Sergei K. Suslov --
Hypergeometric functions in Mathematica / Oleksandr Pavlyk --
Solving linear recurrence equations with polynomial coefficients / Marko Petkovšek and Helena Zakrajšek --
Generalization of Risch's algorithms to special functions / Clemens G. Raab --
Multiple hypergeometric series: Appell series and beyond / Michael J. Schlosser --
Simplifying multiple sums in difference fields / Carsten Schneider --
Potential of FORM 4.0 / Jos A.M. Vermaseren --
Feynman graphs / Stefan Weinzierl.
Series Title: Texts & monographs in symbolic computation
Responsibility: edited by Carsten Schneider, Johannes Blumlein.
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From the reviews: "It is a collection of papers that grew out of a summer school course on integration, summation, and special functions in quantum field theory ... . if you are interested in these Read more...

 
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