Displaying similar documents to “Painlevé property of a degenerate Garnier system of (9/2)-type and of a certain fourth order non-linear ordinary differential equation”

Stirling pairs

L. Carlitz (1978)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.

Chu Wenchang (1997)

Collectanea Mathematica

Similarity:

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.