Version 1
: Received: 15 May 2019 / Approved: 16 May 2019 / Online: 16 May 2019 (15:34:31 CEST)
How to cite:
Duran, U.; Acikgoz, M. The Boole Polynomials Associated with the p-adic Gamma Function. Preprints2019, 2019050216. https://doi.org/10.20944/preprints201905.0216.v1
Duran, U.; Acikgoz, M. The Boole Polynomials Associated with the p-adic Gamma Function. Preprints 2019, 2019050216. https://doi.org/10.20944/preprints201905.0216.v1
Duran, U.; Acikgoz, M. The Boole Polynomials Associated with the p-adic Gamma Function. Preprints2019, 2019050216. https://doi.org/10.20944/preprints201905.0216.v1
APA Style
Duran, U., & Acikgoz, M. (2019). <strong></strong>The Boole Polynomials Associated with the p-adic Gamma Function. Preprints. https://doi.org/10.20944/preprints201905.0216.v1
Chicago/Turabian Style
Duran, U. and Mehmet Acikgoz. 2019 "<strong></strong>The Boole Polynomials Associated with the p-adic Gamma Function" Preprints. https://doi.org/10.20944/preprints201905.0216.v1
Abstract
The main aim of this paper is to set some correlations between Boole polynomials and p-adic gamma function in conjunction with p-adic Euler contant. We develop diverse formulas for p-adic gamma function by means of their Mahler expansion and fermionic p-adic integral on ℤ_{p}. Also, we acquire two fermionic p-adic integrals of p-adic gamma function in terms of Boole numbers and polynomials. We then provide fermionic p-adic integral of the derivative of p-adic gamma function and a representation for the p-adic Euler constant by means of the Boole polynomials. Furthermore, we investigate an explicit representation for the aforesaid constant covering Stirling numbers of the first kind.
Keywords
p-adic numbers, p-adic gamma function, p-adic Euler constant, Mahler expansion, Boole polynomials, Stirling numbers of the first kind.
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.
