Results 51 to 60 of about 936 (88)
Journal of Inequalities and Applications, 2011 We prove that the function F α,β (x) = x α Γ β (x)/Γ(βx) is strictly logarithmically completely monotonic on (0, ∞) if and only if (α, β) ∈ {(α, β) : β > 0, β ≥ 2 ...
Lv Yu-Pei, Sun Tian-Chuan, Chu Yu-Ming
doaj
Operational vs. Umbral Methods and Borel Transform [PDF]
arXiv, 2019 Differintegral methods, currently exploited in calculus, provide a fairly unexhausted source of tools to be applied to a wide class of problems involving the theory of special functions and not only. The use of integral transforms of Borel type and the associated formalism will be shown to be an effective means, allowing a link between umbral and ...
arxiv
Antibacterial potential of commercial and wild lactic acid bacteria strains isolated from ovine and caprine raw milk against Mycoplasma agalactiae. [PDF]
Front Vet Sci, 2023 Toquet M +7 more
europepmc +1 more source
Infinite Product Representations fot Multiple Gamma Function [PDF]
arXiv, 2004 Two kinds of infinite product representations for Vign\'eras multiple gamma function are presented. As an application of these formulas, a multiplication formula for the function is derived.
arxiv
On the q-Analogue of Gamma Functions and Related Inequalities [PDF]
Jounal of Inequalities in Pure and Applied Mathematics Vol
6(2005), p. 1-5, 2005 In this, paper we obtain a q-analogue of a double inequality involving the Euler gamma function which was first proved geometrically by Alsina and Tomas and then analytically by ...
arxiv
Convexity of the median in the gamma distribution [PDF]
arXiv, 2006 We show that the median $m(x)$ in the gamma distribution with parameter $x$ is a strictly convex function on the positive half ...
arxiv
The integrals in Gradshteyn and Ryzhik. Part 4: The Gamma function [PDF]
arXiv, 2007 We present a systematic derivation of some definite integrals in the classical table of Gradshteyn and Ryzhik that can be reduced to the gamma function.
arxiv
The integrals in Gradshteyn and Ryzhik. Part 6: the beta function [PDF]
arXiv, 2007 We present the evaluation of definite integrals in the classical table by I. S. Gradshteyn and I. M. Ryzhik that can be reduced to the beta function.
arxiv
Some Monotonicity Properties of Gamma and $q$-gamma Functions [PDF]
arXiv, 2007 We prove some properties of completely monotonic functions and apply them to obtain results on gamma and $q$-gamma functions.
arxiv
Topics in Special Functions [PDF]
arXiv, 2007 The authors survey recent results in special functions, particularly the gamma function and the Gaussian hypergeometric function.
arxiv