Five convolution formulae of orthogonal polynomials |
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| Authors: | Wenchang Chu Peipei Tang |
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| Affiliation: | Hangzhou Normal University, Institute of Combinatorial Mathematics, Hangzhou 310036, PR China |
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| Abstract: | By means of the classical Lagrange expansion theorem, five convolution formulae are established for the orthogonal polynomials named after Laguerre, Jacobi, Meixner, Gegenbauer and Pollaczek, that contain the well-known Hagen-Rothe formula for binomial coefficients as common special case. |
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| Keywords: | Orthogonal polynomials Convolution identities Hagen-Rothe formulae |
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