Binomial convolutions and hypergeometric identities (Q1896375)

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.