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. Their q-analogues are established in the second section. Some generalized convolutions are presented through formal power series manipulation.
@article{urn:eudml:doc:40584,
title = {Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.},
journal = {Collectanea Mathematica},
volume = {48},
year = {1997},
pages = {265-279},
zbl = {0906.05003},
mrnumber = {MR1475802},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40584}
}
Wenchang, Chu. Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.. Collectanea Mathematica, Tome 48 (1997) pp. 265-279. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40584/