Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A NEW CLASS OF GENERALIZED APOSTOL-TYPE FROBENIUS-EULER-HERMITE POLYNOMIALS

  • Pathan, M.A. (Centre for Mathematical and Statistical Sciences (CMSS)) ;
  • Khan, Waseem A. (Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University)
  • Received : 2019.10.19
  • Accepted : 2020.07.02
  • Published : 2020.09.25
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Abstract

In this paper, we introduce a new class of generalized Apostol-type Frobenius-Euler-Hermite polynomials and derive some explicit and implicit summation formulae and symmetric identities by using different analytical means and applying generating functions. These results extend some known summations and identities of generalized Frobenius-Euler type polynomials and Hermite-based Apostol-Euler and Apostol-Genocchi polynomials studied by Pathan and Khan, Kurt and Simsek.

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References

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