Unified (p,q)-analog of Aspostol type polynomials of order α

Abstract

In this work, we introduce a class of a new generating function for (p,q)-analog of Apostol type polynomials of order ? including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order ?. 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.