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

作者: Carsten Schneider; J Blümlein
出版商: Wien : Springer, 2013.
叢書: Texts & monographs in symbolic computation
版本/格式:   電子書 : 文獻 : 英語所有版本和格式的總覽
資料庫:WorldCat
提要:
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:  再讀一些...
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類型/形式: Electronic books
其他的實體格式: Print version:
Computer algebra in quantum field theory
(OCoLC)855200603
資料類型: 文獻, 網際網路資源
文件類型: 網路資源, 電腦資料
所有的作者/貢獻者: Carsten Schneider; J Blümlein
ISBN: 9783709116166 3709116163
OCLC系統控制編碼: 861183206
注意: Includes index.
描述: 1 online resource (xiv, 411 pages).
内容: 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.
叢書名: Texts & monographs in symbolic computation
責任: 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 再讀一些...

 
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