On applications of blending generating functions of q-Apostol-type polynomials
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CitationDuran, U., Acikgoz, M. Araci , S. (2019). On applications of blending generating functions of q-Apostol-type polynomials. Notes on Number Theory and Discrete Mathematics, 25(3), 72-86. https://doi.org/10.7546/nntdm.2019.25.3.72-86
Motivated by Kurt's blending generating functions of q-Apostol polynomials , 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.