By looking back at the long history of bounding the ratio for and, various origins of this topic
are clarified, several developed courses are followed, different results are compared, useful …

Generalization of some inequalities for the Gamma function Page 1 Mathematical
Communications 13(2008), 271-275 271 Generalization of some inequalities for the Gamma …

Turan inequalities for the digamma and polygamma functions Page 1 RESEARCH ARTICLE
Citation: WT Sulaiman, Turan inequalities for the digamma and polygamma functions, South …

Let a and b be two real numbers and f be a positive and differentiable function on an interval
I. The authors establish the i-log-convex or i-log-concave properties for i∈ ℕ of the function [f …

New Inequalities for Some Special and $q$-Special Functions Page 1 Volume 8 (2007),
Issue 2, Article 47, 7 pp. NEW INEQUALITIES FOR SOME SPECIAL AND q-SPECIAL …

In this paper, the logarithmically complete monotonicity, logarithmically absolute
monotonicity and logarithmically absolute convexity of the function [Γ (1+ tx)] s/[Γ (1+ sx)] t for …

It is well-known that if ${\phi}^{{\prime}{\prime}} $> 0 for all x, ${\phi}(0)= 0$, and ${\phi}/x $ is
interpreted as ${\phi}^{\prime}(0) $ for x= 0, then ${\phi}/x $ increases for all x. This has been …

Extensions of Some Inequalities for the Gamma Function 1 Introduction Page 1 International
Mathematical Forum, Vol. 9, 2014, no. 5, 199 - 206 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/imf.2014.312234 …

By looking back at the long history of bounding the ratio Γ (x+ a)/Γ (x+ b) for x>-min {a, b} and
a, b∈..., various origins of this topic are clarified, several developed courses are followed …

In this paper, the authors establish some inequalities for the (q; k)-extension of the classical
Gamma function. The procedure utilizes a mono-tonicity property of the (q; k)-extension of …