Version 1
: Received: 20 December 2017 / Approved: 21 December 2017 / Online: 21 December 2017 (05:30:46 CET)
How to cite:
Duran, U.; Acikgoz, M.; Araci, S. Unified (p, q) -analog of Apostol type polynomials of order a. Preprints2017, 2017120152. https://doi.org/10.20944/preprints201712.0152.v1
Duran, U.; Acikgoz, M.; Araci, S. Unified (p, q) -analog of Apostol type polynomials of order a. Preprints 2017, 2017120152. https://doi.org/10.20944/preprints201712.0152.v1
Duran, U.; Acikgoz, M.; Araci, S. Unified (p, q) -analog of Apostol type polynomials of order a. Preprints2017, 2017120152. https://doi.org/10.20944/preprints201712.0152.v1
APA Style
Duran, U., Acikgoz, M., & Araci, S. (2017). Unified (<em>p, q</em>) -analog of Apostol type polynomials of order <em>a</em>. Preprints. https://doi.org/10.20944/preprints201712.0152.v1
Chicago/Turabian Style
Duran, U., Mehmet Acikgoz and Serkan Araci. 2017 "Unified (<em>p, q</em>) -analog of Apostol type polynomials of order <em>a</em>" Preprints. https://doi.org/10.20944/preprints201712.0152.v1
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
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
