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Some families of generating functions for the Jacobi polynomials

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dc.contributor.author Srivastava, H.M.
dc.contributor.author Gupta, L. C.
dc.date.accessioned 2009-09-24T23:23:17Z
dc.date.available 2009-09-24T23:23:17Z
dc.date.copyright 1994 en
dc.date.issued 2009-09-24T23:23:17Z
dc.identifier.uri http://hdl.handle.net/1828/1770
dc.description.abstract The authors derive a unification and generalization of several families of linear, bilinear, and bilateral generating functions for the classical Jacobi polynomials, which were given in a number of earlier works on the subject. They also show how the results considered here can be extended further to hold true for the product of two Jacobi polynomials of different arguments. Relevant historical remarks and observations, and connections with other works on applications of some of these generating functions, are presented rather briefly. en
dc.description.sponsorship NSERC Grant OGP0007353 en
dc.language.iso en en
dc.relation.ispartofseries DMS-664-IR en
dc.subject generating functions en
dc.subject Jacobi polynomials en
dc.subject Gauss hypergeometric function en
dc.subject Lauricella functions en
dc.subject Kampé de Fériet function en
dc.subject Bateman's product formula en
dc.title Some families of generating functions for the Jacobi polynomials en
dc.type Technical Report en


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