Journal of Integer Sequences, Vol. 23 (2020), Article 20.9.4

Combinatorial Identities for the Tricomi Polynomials

Emanuele Munarini
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,    dvi,    ps,    latex    

(Concerned with sequences A000166 A000522.)

Received May 15 2020; revised version received August 26 2020. Published in Journal of Integer Sequences, October 15 2020.

Return to Journal of Integer Sequences home page