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/}
}
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AU  - Wenchang Chu
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JO  - Séminaire lotharingien de combinatoire
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PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_1992_29_a2/
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%0 Journal Article
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%T Inverse Series Relations, Formal Power Series and Blodgett-Gessel's Type Binomial Identities
%J Séminaire lotharingien de combinatoire
%D 1992
%V 29
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_1992_29_a2/
%F 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/