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The Youngnam Mathematical Society (영남수학회)
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A NOTE ON (p, q)-ANALOGUE TYPE OF FROBENIUS-GENOCCHI NUMBERS AND POLYNOMIALS

  • Khan, Waseem A. (Department of Mathematics and Natural Sciences, Prince Mohammad Fahd University) ;
  • Khan, Idrees A. (Department of Mathematics, Faculty of Science, Integral University)
  • Received : 2019.06.24
  • Accepted : 2019.11.07
  • Published : 2020.01.31
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Abstract

The main purpose of this paper is to introduce Apostol type (p, q)-Frobenius-Genocchi numbers and polynomials of order α and investigate some basic identities and properties for these polynomials and numbers including addition theorems, difference equations, derivative properties, recurrence relations. We also obtain integral representations, implicit and explicit formulas and relations for these polynomials and numbers. Furthermore, we consider some relationships for Apostol type (p, q)-Frobenius-Genocchi polynomials of order α associated with (p, q)-Apostol Bernoulli polynomials, (p, q)-Apostol Euler polynomials and (p, q)-Apostol Genocchi polynomials.

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References

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