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Title: Derivatives of the Pochhammer and reciprocal Pochhammer symbols and their use in epsilon-expansions of Appell and Kampé de Fériet functions

Useful expressions of the derivatives, to any order, of Pochhammer and reciprocal Pochhammer symbols with respect to their arguments are presented. They are building blocks of a procedure, recently suggested, for obtaining the ε-expansion of functions of the hypergeometric class related to Feynman integrals. The procedure is applied to some examples of such kind of functions taken from the literature.
Authors:
 [1] ;  [2] ;  [3]
  1. INFN Sezione di Napoli, Dipartimento di Fisica, Via Cintia, I-80126 Napoli (Italy)
  2. Departamento de Física Teórica, Facultad de Ciencias, 50009 Zaragoza (Spain)
  3. Departament de Física Teórica, IFIC, CSIC - Universitat de València, Apt. Correus 22085, E-46071 València (Spain)
Publication Date:
OSTI Identifier:
22250949
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FEYNMAN PATH INTEGRAL; FUNCTIONS; POWER SERIES