On Some New Properties for the Gamma Functions
Ilir Demiri
Mother Teresa University, Skopje, North Macedonia.
Bilall Shaini
State University of Tetovo, North Macedonia.
Shpetim Rexhepi *
Mother Teresa University, Skopje, North Macedonia.
Egzona Iseni
Mother Teresa University, Skopje, North Macedonia.
*Author to whom correspondence should be addressed.
Abstract
In this paper will be presented some new properties in form of the inequalities related to gamma function, product of two gamma functions and some of them will be presented in the form of infinite series and limit where are included the Euler number and the Euler-Mascheroni constant.
Keywords: Gamma function, series, Euler number, Euler-Mascheroni constant
How to Cite
Downloads
References
Chaudhry MA, Zubair SM. Generalized incomplete gamma functions with applications. Journal of Computational and Applied Mathematics. 1994;55(1):99-124.
Maligranda L. The AM-GM inequality is equivalent to the Bernoulli inequality. The Mathematical Intelligencer. 2012;34(1):1-2.
Complex variables, second edition, Murray R. Spiegel, Seymour Lipschutz, John J.Schiller, Dennis Spellman, The McGraw-Hill; 2009.
Demiri I, Rexhepi S. Some approximations of the Euler number. The Teaching of Mathematics. 2020;23(1):51-56.
Laforgia Andrea, Natalini Pierpaolo. On some inequalities for the gama functions. Advances in Dynamical Systems and Applications. 2013;8(2):261-267.
Li Xin, Chen Chao-Ping. Inequalities for the gamma function. Journal of Inequalities in Pure and Applied Mathematics. 2007;8(1):3.
Va’lean, Ioan Cornel. Almost Impossible integrals, Sums, and Series. Springer; 2019.
Demiri I, Rexhepi S, Iseni E. Comparison of some new approximations with the Leibniz formula regarding their convergence to the Archimedes’constant. Electronic Journal of Mathematical Analysis and Applications. 2022;10(1):122-128.
Rexhepi Sh, Abedini A, Hasani R. Inequalities (Techniques of proof)‘’ Gostivar; 2011.