Some extensions of Bateman's product formulas for the Jacobi polynomials

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dc.contributor.authorChen, Ming-Po
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2009-09-24T22:53:17Z
dc.date.available2009-09-24T22:53:17Z
dc.date.copyright1994en
dc.date.issued2009-09-24T22:53:17Z
dc.description.abstractThe authors derive generalizations of some remarkable product formulas of Harry Bateman (1882-1946) for the classical Jacobi polynomials. They also show how the results considered here would lead to various families of linear, bilinear, and bilateral generating functions for the Jacobi and related polynomials.en
dc.description.sponsorshipNational Science Council of the Republic of China Grant NSC-82-0208-M-1-145 and NSERC Grant OGP0007353en
dc.identifier.urihttp://hdl.handle.net/1828/1769
dc.language.isoenen
dc.relation.ispartofseriesDMS-687-IRen
dc.subjectproduct formulasen
dc.subjectJacobi polynomialsen
dc.subjectgenerating functionsen
dc.subjectseries inversionen
dc.subjectlinearization formulaen
dc.subjectGaussian hypergeometric functionen
dc.subjecthypergeometric identityen
dc.subjectquadratic transformationen
dc.subjectAppell functionsen
dc.subjectpolynomial expansionsen
dc.subjectcomplex sequenceen
dc.subjectDixon's summation theoremen
dc.subjectClausenian hypergeometric seriesen
dc.subjectpolynomial identityen
dc.subjectreduction formulaen
dc.titleSome extensions of Bateman's product formulas for the Jacobi polynomialsen
dc.typeTechnical Reporten

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