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 formulas
dc.subjectJacobi polynomials
dc.subjectgenerating functions
dc.subjectseries inversion
dc.subjectlinearization formula
dc.subjectGaussian hypergeometric function
dc.subjecthypergeometric identity
dc.subjectquadratic transformation
dc.subjectAppell functions
dc.subjectpolynomial expansions
dc.subjectcomplex sequence
dc.subjectDixon's summation theorem
dc.subjectClausenian hypergeometric series
dc.subjectpolynomial identity
dc.subjectreduction formula
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleSome extensions of Bateman's product formulas for the Jacobi polynomialsen
dc.typeTechnical Reporten

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