Differential Reduction Algorithms for the All-Order Epsilon Expansion of Hypergeometric Functions

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dc.creatorYost, S. A.
dc.creatorKalmykov, M. Yu.
dc.creatorWard, B. F. L.
dc.date2008-08-19
dc.date2008-10-06
dc.date.accessioned2026-07-07T10:07:21Z
dc.date.available2026-07-07T10:07:21Z
dc.descriptionHypergeometric functions provide a useful representation of Feynman diagrams occuring in precision phenomenology. In dimension regularization, the epsilon-expansion of these functions about d=4 is required. We discuss the current status of differential reduction algorithms. As an illustration, we consider the construction of the all-order epsilon-expansion of the Appell hypergeometric function about integer values of the parameters and present an explicit evaluations of the first few terms.
dc.descriptionPoster presentation by S.A. Yost at the 34th International Conference on High Energy Physics, Philadelphia, August 2008. 3 pages, no figures, revtex4, slac_one.rtx. Version 4 corrects the arguments of one equation (between eqs. 5 and 6). Version 5 updates the template for ICHEP08
dc.identifierhttps://arxiv.org/abs/0808.2605
dc.identifierhttp://arxiv.org/abs/0808.2605
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170603
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.titleDifferential Reduction Algorithms for the All-Order Epsilon Expansion of Hypergeometric Functions
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