Partially degenerate poly-Bernoulli polynomials associated with Hermite polynomials
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In this paper, we derive generating functions for the partially degenerate Hermite poly-Bernoulli polynomials and investigate some properties of these polynomials related to the Stirling numbers of the second kind. Further, we derive the summation formulae and general symmetry identities for that polynomials by using different analytical means on its generating function. Also, generating functions and summation formulae for the polynomials related to partially degenerate Hermite poly- Bernoulli polynomials are obtained as applications of main results.
Abstract
In this paper, we derive generating functions for the partially degenerate Hermite poly-Bernoulli polynomials and investigate some properties of these polynomials related to the Stirling numbers of the second kind. Further, we derive the summation formulae and general symmetry identities for that polynomials by using different analytical means on its generating function. Also, generating functions and summation formulae for the polynomials related to partially degenerate Hermite poly- Bernoulli polynomials are obtained as applications of main results.
참고문헌 (16)
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