Published January 1, 2018 | Version v1
Journal article Open

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

  • 1. Iskenderun Tech Univ, Fac Engn & Nat Sci, Dept Basic Concepts Engn, TR-31200 Antakya, Turkey
  • 2. Gaziantep Univ, Fac Arts & Sci, Dept Math, TR-27310 Gaziantep, Turkey
  • 3. Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, TR-27410 Gaziantep, Turkey

Description

In this work, we introduce 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 alpha. 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.

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