Honam Mathematical Journal (호남수학학술지)

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A STUDY OF POLY-BERNOULLI POLYNOMIALS ASSOCIATED WITH HERMITE POLYNOMIALS WITH q-PARAMETER

  • Khan, Waseem A. (Department of Mathematics, Faculty of Science, Integral University) ;
  • Srivastava, Divesh (Department of Mathematics, Faculty of Science, Integral University)
  • Received : 2019.03.06
  • Accepted : 2019.05.23
  • Published : 2019.12.25
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Abstract

This paper is designed to introduce a Hermite-based-poly-Bernoulli numbers and polynomials with q-parameter. By making use of their generating functions, we derive several summation formulae, identities and some properties that is connected with the Stirling numbers of the second kind. Furthermore, we derive symmetric identities for Hermite-based-poly-Bernoulli polynomials with q-parameter by using generating functions.

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References

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