Séminaire Lotharingien de Combinatoire, B29c (1992), 11 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1992, 1993/033, p. 23-33.]

Wenchang Chu

Inverse Series Relations, Formal Power Series and Blodgett-Gessel's Type Binomial Identities

Abstract. A pair of simple bivariate inverse series relations are used by embedding machinery to produce several double summation formulae on shifted factorials (or binomial coefficients), including the evaluation due to Blodgett-Gessel [Amer. Math. Monthly 99 (1992), E3376]. Their q-analogues are established in the second section. Some generalized convolutions are presented through formal power series manipulation.

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