Combinatorial Identities for the Tricomi Polynomials
Dipartimento di Matematica Politecnico di Milano
Piazza Leonardo da Vinci 32
Using the technique of formal power series, we obtain some two-
parameter binomial identities for the Tricomi polynomials. Moreover, we
establish some relations between the Tricomi polynomials, the generalized
derangement polynomials, and the Touchard polynomials. Finally, we obtain
a characterization of the rising and falling factorial powers by means
of a generalized binomial theorem.
Full version: pdf,
(Concerned with sequences
Received May 15 2020;
revised version received August 26 2020.
Published in Journal of Integer Sequences,
October 15 2020.
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