Inverse Series Relations, Formal Power Series and Blodgett-Gessel's Type Binomial Identities
Séminaire lotharingien de combinatoire, Tome 29 (1992)
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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.
@article{SLC_1992_29_a2, author = {Wenchang Chu}, title = {Inverse {Series} {Relations,} {Formal} {Power} {Series} and {Blodgett-Gessel's} {Type} {Binomial} {Identities}}, journal = {S\'eminaire lotharingien de combinatoire}, publisher = {mathdoc}, volume = {29}, year = {1992}, url = {http://geodesic.mathdoc.fr/item/SLC_1992_29_a2/} }
Wenchang Chu. Inverse Series Relations, Formal Power Series and Blodgett-Gessel's Type Binomial Identities. Séminaire lotharingien de combinatoire, Tome 29 (1992). http://geodesic.mathdoc.fr/item/SLC_1992_29_a2/