In this paper, we show that the generalized exponential polynomials and the generalized Fubini polynomials satisfy certain binomial identities and that these identities characterize the mentioned polynomials (up to an affine transformation of the variable) among the class of the normalized Sheffer sequences.

A combinatorial characterization of the generalized exponential and Fubini polynomials

E. Munarini
2021-01-01

Abstract

In this paper, we show that the generalized exponential polynomials and the generalized Fubini polynomials satisfy certain binomial identities and that these identities characterize the mentioned polynomials (up to an affine transformation of the variable) among the class of the normalized Sheffer sequences.
2021
Combinatorial sums, binomial sums, Sheffer sequences, exponential Riordan matrices
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1221761
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