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Authors: WASEEM A. KHAN, IDREES A. KHAN, MUSHARRAF ALI.
DOI: 10.24193/subbmath.2020.1.01
Published Online: 2020-03-06
Published Print: 2020-03-30
pp. 3-15
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ABSTRACT: In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials with q-parameter 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 dierent analytical means and applying generating functions. These results extend some known summations and identities of degenerate Hermite poly-Bernoulli numbers and polynomials.
Key words: Hermite polynomials, degenerate q-poly-Bernoulli polynomi- als, degenerate Hermite q-poly-Bernoulli polynomials, Summation formulae, Symmetric identities.
