Published January 1, 2019 | Version v1
Journal article Open

On applications of blending generating functions of q-Apostol-type polynomials

  • 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

Motivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized q-Stirling numbers of the second kind. Additionally, by making use of the fermionic p-adic integral over the p-adic numbers field, some relationships including unified Apostol-type q-polynomials and classical Euler numbers are obtained.

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