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Characterization of various Appel polynomials sequences

Characterization of various Appel polynomials sequences

Abstract In this paper, we characterize various sequences of the Appell polynomials by means of the formula of representation of powers viewed from a linear operator perspective. First we construct some Gauss-Weierstrass integral representation operators for various sequence of Appell polynomials such as Euler-Frobenius polynomials, Degenerate Bernoulli polynomials, Bell-Touchard polynomials …