Preprint Article Version 1 This version is not peer-reviewed

Certain Results on (p,q)-Hermite Based Apostol Type Frobenius-Euler Polynomials

Version 1 : Received: 19 August 2019 / Approved: 20 August 2019 / Online: 20 August 2019 (11:29:03 CEST)

How to cite: Khan, W.; Khan, I.A.; Duran, U.; Acikgoz, M. Certain Results on (p,q)-Hermite Based Apostol Type Frobenius-Euler Polynomials. Preprints 2019, 2019080216 (doi: 10.20944/preprints201908.0216.v1). Khan, W.; Khan, I.A.; Duran, U.; Acikgoz, M. Certain Results on (p,q)-Hermite Based Apostol Type Frobenius-Euler Polynomials. Preprints 2019, 2019080216 (doi: 10.20944/preprints201908.0216.v1).

Abstract

In the present paper, the (p,q)-Hermite based Apostol type Frobenius-Euler polynomials and numbers are firstly considered and then diverse basic identities and properties for the mentioned polynomials and numbers, including addition theorems, difference equations, integral representations, derivative properties, recurrence relations. Moreover, we provide summation formulas and relations associated with the Stirling numbers of the second kind.

Subject Areas

Hermite polynomials, Apostol type Frobenius-Euler polynomials, Hermite based Apostol type Frobenius Euler polynomials, Stirling numbers of the second kind, (p,q)-numbers.

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