In this paper, we introduce a new class of degenerate Hermite poly-Genocchi numbers and polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Then, we also derive some implicit summation formulae and symmetry identities of these polynomials by using different analytical means and applying generating functions. These results provide a significant extension of known summations and identities pertaining to degenerate Hermite poly-Genocchi numbers and polynomials.

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A New Class of Degenerate Hermite poly-Genocchi Polynomials and Numbers

  • Musharraf Ali,
  • Ulfat Ansari,
  • Waseem Ahmad Khan

摘要

In this paper, we introduce a new class of degenerate Hermite poly-Genocchi numbers and polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Then, we also derive some implicit summation formulae and symmetry identities of these polynomials by using different analytical means and applying generating functions. These results provide a significant extension of known summations and identities pertaining to degenerate Hermite poly-Genocchi numbers and polynomials.