On the all-order epsilon-expansion of generalized hypergeometric functions with integer values of parameters

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dc.creatorKalmykov, M. Yu.
dc.creatorWard, B. F. L.
dc.creatorYost, S. A.
dc.date2007-08-06
dc.date2007-11-07
dc.date.accessioned2026-07-07T12:59:16Z
dc.date.available2026-07-07T12:59:16Z
dc.descriptionWe continue our study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper, we apply the approach of obtaining iteratated solutions to the differential equations associated with hypergeometric functions to prove the following result (Theorem 1): The epsilon-expansion of a generalized hypergeometric function with integer values of parameters is expressible in terms of generalized polylogarithms with coefficients that are ratios of polynomials. The method used in this proof provides an efficient algorithm for calculatiing of the higher-order coefficients of Laurent expansion.
dc.description12 pages, Latex + amsmath, JHEP3 class packages. This revision adds references 1 and 19. The FORM code is available via the WWW at http://theor.jinr.ru/~kalmykov/hypergeom/hyper.html
dc.identifierhttps://arxiv.org/abs/0708.0803
dc.identifierhttp://arxiv.org/abs/0708.0803
dc.identifierJHEP 0711:009,2007
dc.identifierdoi:10.1088/1126-6708/2007/11/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225518
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.titleOn the all-order epsilon-expansion of generalized hypergeometric functions with integer values of parameters
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