American Journal of Mathematical Analysis
ISSN (Print): 2333-8490 ISSN (Online): 2333-8431 Website: https://www.sciepub.com/journal/ajma Editor-in-chief: Apply for this position
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American Journal of Mathematical Analysis. 2021, 9(1), 1-5
DOI: 10.12691/ajma-9-1-1
Open AccessArticle

On a Certain Identity Involving the Gamma Function

Theophilus Agama1,

1Department of Mathematics, African Institute for Mathematical Science, Ghana

Pub. Date: February 23, 2021

Cite this paper:
Theophilus Agama. On a Certain Identity Involving the Gamma Function. American Journal of Mathematical Analysis. 2021; 9(1):1-5. doi: 10.12691/ajma-9-1-1

Abstract

The goal of this paper is to prove the identity where and where is the Gamma function defined by and is the Euler-Mascheroni constant.

Keywords:
Gamma function digamma function poles

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  Sebah, Pascal and Gourdon, Xavier, Introduction to the gamma function, American Journal of Scientific Research, 2002.
 
[2]  Batir, Necdet, Bounds for the gamma function, arXiv preprint arXiv:1705.06167, 2015.
 
[3]  Nantomah, Kwara and Prempeh, Edward and Twum, S. Boakye, Some inequalities for the q-Extension of the Gamma Function, arXiv preprint arXiv:1510.03459, 2015.