Version 1
: Received: 15 May 2019 / Approved: 16 May 2019 / Online: 16 May 2019 (15:35:19 CEST)
How to cite:
Duran, U.; Acikgoz, M. On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials. Preprints2019, 2019050217. https://doi.org/10.20944/preprints201905.0217.v1
Duran, U.; Acikgoz, M. On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials. Preprints 2019, 2019050217. https://doi.org/10.20944/preprints201905.0217.v1
Duran, U.; Acikgoz, M. On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials. Preprints2019, 2019050217. https://doi.org/10.20944/preprints201905.0217.v1
APA Style
Duran, U., & Acikgoz, M. (2019). On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials. Preprints. https://doi.org/10.20944/preprints201905.0217.v1
Chicago/Turabian Style
Duran, U. and Mehmet Acikgoz. 2019 "On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials" Preprints. https://doi.org/10.20944/preprints201905.0217.v1
Abstract
In this paper, we investigate several relations for p-adic gamma function by means of their Mahler expansion and fermionic p-adic q-integral on ℤ_{p}. We also derive two fermionic p-adic q-integrals of p-adic gamma function in terms of q-Boole polynomials and numbers. Moreover, we discover fermionic p-adic q-integral of the derivative of p-adic gamma function. We acquire a representation for the p-adic Euler constant by means of the q-Boole polynomials. We finally develop a novel, explicit and interesting representation for the p-adic Euler constant including Stirling numbers of the first kind.
Keywords
p-adic numbers, p-adic gamma function, p-adic Euler constant, Mahler expansion, q-Boole polynomials, Stirling numbers of the first kind.
Subject
Physical Sciences, Mathematical Physics
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.
