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Uniform asymptotic estimates of hypergeometric functions appearing in Potential Theory

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorPestana, Domingo
dc.contributor.authorRodríguez, José M.
dc.date.accessioned2010-01-19T14:56:25Z
dc.date.available2010-01-19T14:56:25Z
dc.date.issued1996-03
dc.description19 pages, no figures.-- MSC1991 codes: 33C05, 33C55, 31B15.
dc.descriptionMR#: MR1393128 (98b:33007)
dc.descriptionZbl#: Zbl 0864.33001
dc.description.abstractThe solution of a Dirichlet problem for the Laplace-Beltrami operator with Bergman metric in the unit ball in the complex $n$-dimensional space can be expressed in terms of integrals of which the kernel can be expanded in spherical harmonics. The coefficients in this expansion contain ratios of Gauss hypergeometric functions of the form $F(p,q;p+q+n;r^2)/ F(p,q;p+q+n;1)$. The paper studies the uniform asymptotic behaviour of $F(q,mq;q+mq+n;t)$ for large values of $q$. Several results are formulated as inequalities for certain integrals containing ratios of hypergeometric functions [Zentralblatt MATH].
dc.description.sponsorshipResearch of the second author was supported by a grant of the CICYT, Ministerio de Educación y Ciencia, Spain.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationMethods and Applications, 1996, vol. 3, n. 1, p. 80-97
dc.identifier.issn1073-2772
dc.identifier.urihttps://hdl.handle.net/10016/6504
dc.language.isoeng
dc.publisherInternational Press
dc.relation.publisherversionhttp://www.intlpress.com/MAA/p/1996/3_1/MAA-3-1-080-097.pdf
dc.rights© International Press
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherHypergeometric functions
dc.subject.otherSpherical harmonics
dc.subject.otherHigher dimensional capacity
dc.titleUniform asymptotic estimates of hypergeometric functions appearing in Potential Theory
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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