A note on degenerate Hermite poly-Bernoulli numbers and polynomials
Copyright policy )A note on degenerate Hermite poly-Bernoulli numbers and polynomials
Summary: In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions. These results extend some known summations and identities of degenerate Hermite poly-Bernoulli numbers and polynomials.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Hermite polynomials, degenerate poly-Bernoulli polynomials, symmetric identities, Special sequences and polynomials, summation formulae, Bell and Stirling numbers, Bernoulli and Euler numbers and polynomials, degenerate Hermite poly-Bernoulli polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Hermite polynomials, degenerate poly-Bernoulli polynomials, symmetric identities, Special sequences and polynomials, summation formulae, Bell and Stirling numbers, Bernoulli and Euler numbers and polynomials, degenerate Hermite poly-Bernoulli polynomials
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