Some Identities of the Degenerate Poly-Frobenius-Genocchi Polynomials of Complex Variables

Burak Kurt^1,

¹Akdeniz University, Mathematics of Depertment, Antalya TR-07058, TURKEY

Cite this paper:
Burak Kurt. Some Identities of the Degenerate Poly-Frobenius-Genocchi Polynomials of Complex Variables. Turkish Journal of Analysis and Number Theory. 2021; 9(2):30-37. doi: 10.12691/tjant-9-2-3

Abstract

The main of this paper is to define and investigate a new class of the degenerate poly-Frobenius-Genocchi polynomials with the help of the polyexponential functions. In this paper, we define the degenerate poly-Frobenius-Genocchi polynomials of complex variables arising from the modified polyexponential functions, and establish some explicit expressions for these polynomials. Meanwhile, some interesting connections between these polynomials and some other special polynomials are also showed.

Keywords:
Frobeniıs-Euler numbers and polynomials Genocchi numbers and polynomials Frobenius-Genocchi numbers and polynomials The degenerate Stirling numbers of both kind The degenerate Stirling polynomials of the second kind The Bernoulli polynomials of the second kind The polyexponential functions The degenerate poly-Frobenius-Genocchi polynomials of complex variables

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