Derivatives of any order of the hypergeometric function pFq(a1, ..., ap; b1, ..., bq; z) with respect to the parameters ai and bi

dc.creatorAncarani, L.U.
dc.creatorGasaneo, Gustavo
dc.date.accessioned2019-01-24T15:16:32Z
dc.date.accessioned2022-10-15T00:45:41Z
dc.date.available2019-01-24T15:16:32Z
dc.date.available2022-10-15T00:45:41Z
dc.date.created2019-01-24T15:16:32Z
dc.date.issued2010-02
dc.identifierAncarani, L.U.; Gasaneo, Gustavo; Derivatives of any order of the hypergeometric function pFq(a1, ..., ap; b1, ..., bq; z) with respect to the parameters ai and bi; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 8; 2-2010; 1-11
dc.identifier1751-8113
dc.identifierhttp://hdl.handle.net/11336/68503
dc.identifier1751-8121
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4326323
dc.description.abstractThe derivatives of any order of the general hypergeometric function pFq(a1.....ap; b1.....bq;z) with respect to the parameters a; or bj are expressed, in compact form, in terms of generalizations of multivariable Kampe de Feriet functions. To achieve this, use is made of Babister's solution to nonhomogeneous differential equations for pFq(a1.....ap; b1.....bq;z). An application to Hahn polynomials, which are 3F2 functions, is given as an illustration.
dc.languageeng
dc.publisherIOP Publishing
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/43/8/085210/meta
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1751-8113/43/8/085210
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectHypergeometric Functions
dc.subjectGauss functions
dc.titleDerivatives of any order of the hypergeometric function pFq(a1, ..., ap; b1, ..., bq; z) with respect to the parameters ai and bi
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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