Submitted:
20 December 2017
Posted:
21 December 2017
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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.
Keywords:
(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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