Representations of hypergeometric functions for arbitrary parameter values and their use

Karp, D. B.; López García, José Luis

Publication:
Representations of hypergeometric functions for arbitrary parameter values and their use

dc.contributor.author	Karp, D. B.
dc.contributor.author	López García, José Luis
dc.contributor.department	Ingeniería Matemática e Informática	es_ES
dc.contributor.department	Matematika eta Informatika Ingeniaritza	eu
dc.date.accessioned	2020-10-28T10:19:59Z
dc.date.available	2020-10-28T10:19:59Z
dc.date.issued	2017
dc.description	Esta es la versión no revisada del artículo: D.B. Karp, J.L. López, Representations of hypergeometric functions for arbitrary parameter values and their use, Journal of Approximation Theory, Volume 218, 2017, Pages 42-70, ISSN 0021-9045. Se puede consultar la versión final en https://doi.org/10.1016/j.jat.2017.03.004.	es_ES
dc.description.abstract	Integral representations of hypergeometric functions proved to be a very useful tool for studying their properties. The purpose of this paper is twofold. First, we extend the known representations to arbitrary values of the parameters and show that the extended representations can be interpreted as examples of regularizations of integrals containing Meijer's G function. Second, we give new applications of both, known and extended representations. These include: inverse factorial series expansion for the Gauss type function, new information about zeros of the Bessel and Kummer type functions, connection with radial positive de nite functions and generalizations of Luke's inequalities for the Kummer and Gauss type functions.	en
dc.description.sponsorship	Research of the first author (Sections 1–3) has been supported by the Russian Science Foundation under project 14-11-0002. The research of the second author (Sections 4 and 5) has been supported by the Spanish Ministry of Economía y Competitividad under project MTM2014- 53178.	en
dc.format.mimetype	application/pdf	en
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/38550
dc.language.iso	eng	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.subject	Generalized hypergeometric function	en
dc.subject	Meijer's G function	en
dc.subject	Integral representation	en
dc.subject	Radial positive de nite function	en
dc.subject	Inverse factorial series	en
dc.subject	Hadamard nite part	en
dc.title	Representations of hypergeometric functions for arbitrary parameter values and their use	en
dc.type	info:eu-repo/semantics/article
dc.type.version	Versión enviada / Bidali den bertsioa	es
dc.type.version	info:eu-repo/semantics/submittedVersion	en
dspace.entity.type	Publication
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