Unified (p, q)-analog of Apostol Type Polynomials of Order α

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 α including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order α. 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.