Binomial convolutions and hypergeometric identities
Copyright policy )Binomial convolutions and hypergeometric identities
In the paper some convolution formulas are given for binomial coefficients. For the computation formal power series are used as well as generating functions for the generalised Abel and Gould coefficients. Especially the connection between the binomial convolution and some generalised hypergeometric identities are treated coming from certain ordinary generalised hypergeometric expansions where these special values are containing their parameters.
- Roma Tre University Italy
- University of Salento Italy
- Academia Sinica Taiwan
Abel coefficient, Generalized hypergeometric series, \({}_pF_q\), generating functions, Exact enumeration problems, generating functions, Gould coefficients, Factorials, binomial coefficients, combinatorial functions, BINOMIAL CONVOLUTIONS, Combinatorial identities, bijective combinatorics
Abel coefficient, Generalized hypergeometric series, \({}_pF_q\), generating functions, Exact enumeration problems, generating functions, Gould coefficients, Factorials, binomial coefficients, combinatorial functions, BINOMIAL CONVOLUTIONS, Combinatorial identities, bijective combinatorics
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