A new result for hypergeometric polynomials |
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Authors: | Kung-Yu Chen H M Srivastava |
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Institution: | Department of Mathematics, Tamkang University, Tamsui 25137, Taiwan, Republic of China ; Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada |
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Abstract: | In some recent investigations involving differential operators for generalized Laguerre polynomials, Herman Bavinck (1996) encountered and proved a certain summation formula for the classical Laguerre polynomials. The main object of this sequel to Bavinck's work is to prove a generalization of this summation formula for a class of hypergeometric polynomials. The demonstration, which is presented here in the general case, differs markedly from the earlier proof given for the known special case. The general summation formula is also applied to derive the corresponding result for the classical Jacobi polynomials. |
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Keywords: | Laguerre polynomials generating functions hypergeometric polynomials Stirling numbers of the second kind Jacobi polynomials summation formula |
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