Uniform convergence of hypergeometric series

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dc.creatorVidunas, Raimundas
dc.date2006-03-28
dc.date2006-08-14
dc.date.accessioned2026-07-07T07:07:16Z
dc.date.available2026-07-07T07:07:16Z
dc.descriptionThe considered problem is uniform convergence of sequences of hypergeometric series. We give necessary and sufficient conditions for uniformly dominated convergence of infinite sums of proper bivariate hypergeometric terms. These conditions can be checked algorithmically. Hence the results can be applied in Zeilberger type algorithms for nonterminating hypergeometric series.
dc.description42 pages, 2 Figures. A more compact form of hypergeometric terms is used. Examples added
dc.identifierhttps://arxiv.org/abs/math/0603646
dc.identifierhttp://arxiv.org/abs/math/0603646
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110332
dc.subjectClassical Analysis and ODEs
dc.subject33C20, 33F10
dc.titleUniform convergence of hypergeometric series
dc.typetext

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