Preprint Article Version 1 This version is not peer-reviewed

Unified (p, q) -analog of Apostol type polynomials of order a

Version 1 : Received: 20 December 2017 / Approved: 21 December 2017 / Online: 21 December 2017 (05:30:46 CET)

How to cite: Duran, U.; Acikgoz, M.; Araci, S. Unified (p, q) -analog of Apostol type polynomials of order a. Preprints 2017, 2017120152 (doi: 10.20944/preprints201712.0152.v1). Duran, U.; Acikgoz, M.; Araci, S. Unified (p, q) -analog of Apostol type polynomials of order a. Preprints 2017, 2017120152 (doi: 10.20944/preprints201712.0152.v1).

Abstract

Motivated by Kurt's work [Filomat 30 (4) 921-927, 2016], we first consider a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order a. By making use of their generating function, we derive some useful identities. We also introduce (p, q)-analog of Stirling numbers of second kind of order v by which we construct a relation including aforementioned polynomials.

Subject Areas

(p, q)-calculus; apostol-bernoulli polynomials; apostol-euler polynomials; apostol- genocchi polynomials; stirling numbers of second kind; generating function; cauchy product

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