Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON HIGHER ORDER (p, q)-FROBENIUS-GENOCCHI NUMBERS AND POLYNOMIALS

  • KHAN, WASEEM A. (Department of Mathematics, Faculty of Science, Integral University) ;
  • KHAN, IDREES A. (Department of Mathematics, Faculty of Science, Integral University) ;
  • KANG, J.Y. (Department of Mathematics Education, Silla University)
  • Received : 2018.12.09
  • Accepted : 2019.04.20
  • Published : 2019.05.30
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Abstract

In the present paper, we introduce (p, q)-Frobenius-Genocchi numbers and polynomials and investigate some basic identities and properties for these polynomials and numbers including addition theorems, difference equations, derivative properties, recurrence relations and so on. Then, we provide integral representations, implicit and explicit formulas and relations for these polynomials and numbers. We consider some relationships for (p, q)-Frobenius-Genocchi polynomials of order ${\alpha}$ associated with (p, q)-Bernoulli polynomials, (p, q)-Euler polynomials and (p, q)-Genocchi polynomials.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

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