Some extensions of Bateman's product formulas for the Jacobi polynomials.
Chen, Ming-Po, Srivastava, H.M. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “The generating function for the Jacobi polynomial”
Some extensions of Bateman's product formulas for the Jacobi polynomials.
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In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them. We derive expressions of generalized Legendre polynomials and generalized ultraspherical polynomials by means of classical Jacobi polynomials.
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Rendiconti del Seminario Matematico della Università di Padova
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2010 Mathematics Subject Classification: 33C45, 40G05. In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi polynomials.
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Rendiconti del Seminario Matematico della Università di Padova
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