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

著者: Carsten Schneider; J Blümlein
出版: Wien : Springer, 2013.
シリーズ: Texts and monographs in symbolic computation.
エディション/フォーマット:   電子書籍 : Document : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
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:  続きを読む
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ジャンル/形式: Electronic books
Ebook
その他のフォーマット: Print version:
Computer algebra in quantum field theory
(OCoLC)855200603
資料の種類: Document, インターネット資料
ドキュメントの種類: インターネットリソース, コンピューターファイル
すべての著者/寄与者: Carsten Schneider; J Blümlein
ISBN: 9783709116166 3709116163
OCLC No.: 861183206
注記: Includes index.
物理形態: 1 online resource (xiv, 411 pages).
コンテンツ: 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.
シリーズタイトル: Texts and monographs in symbolic computation.
責任者: edited by Carsten Schneider, Johannes Blumlein.
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概要:

Computer Algebra in Quantum Field Theory  続きを読む

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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 続きを読む

 
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