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A new class of Hermite-based higher order central Fubini polynomials. (English) Zbl 1476.11042

Summary: In this paper, we introduce a new class of Hermite-based higher-order central Fubini polynomials and numbers. We obtain some properties, identities, and recurrence relationships by using the generating function of these polynomials. We establish summation formulas of these polynomials by summation techniques series. Also, we derive symmetric identities of three-variable Hermite-based higher-order central Fubini polynomials by using generating functions.

MSC:

11B68 Bernoulli and Euler numbers and polynomials
11B75 Other combinatorial number theory
11B83 Special sequences and polynomials
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
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