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

Journal Article · Tue Apr 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4870619· OSTI ID:22250949

Greynat, David ^[1]; Sesma, Javier ^[2]; Vulvert, Grégory ^[3]

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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)

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.

• OSTI ID: 22250949
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

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