New proofs for the two Barnes lemmas and an additional lemma

Mellin-Barnes (MB) representations have become a widely used tool for the evaluation of Feynman loop integrals appearing in perturbative calculations of quantum field theory. Some of the MB integrals may be solved analytically in closed form with the help of the two Barnes lemmas which have been kno...

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Veröffentlicht in:	arXiv.org 2012-11
1. Verfasser:	Jantzen, Bernd
Format:	Artikel
Sprache:	eng
Schlagworte:	Field theory Hypergeometric functions Infinite series Integrals Mathematical analysis Mathematics - Mathematical Physics Physics - High Energy Physics - Phenomenology Physics - High Energy Physics - Theory Physics - Mathematical Physics Quantum field theory Quantum theory Representations
Online-Zugang:	Volltext
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