Results 71 to 80 of about 681 (108)

Differential equation of K-Bessel's function and its properties

, 2014
In this paper we solve a differential equation for K Bessel function. We establish a relationship between Bessel function and K -Bessel function. Finally we evaluate the generating function for KBessel function. Mathematics Subject Classification: 33B15,
K. S. Gehlot
semanticscholar   +1 more source

An inequality for the modulus of the ratio of two complex gamma functions

Miskolc Mathematical Notes, 2019
The Euler gamma function is closely connected with the theory of zeta-functions. We prove a new inequality for the modulus of the ratio of two complex gamma functions .s/= .2 s/, arising in problems of the size of Selberg zeta-functions at places ...
I. Belovas, L. Sakalauskas
semanticscholar   +1 more source

Some Inequalities for the Ratios of Generalized Digamma Functions

, 2014
Some inequalities for the ratios of generalized digamma functions are presented. The approache makes use of the series representations of the $(q,k)$-digamma and $(p,q)$-digamma functions.Comment: 5 ...
Nantomah, Kwara
core   +1 more source

Two double inequalities for k-gamma and k-Riemann zeta functions

, 2014
By using methods in the theory of majorization, a double inequality for the gamma function is extended to the k-gamma function and the k-Riemann zeta function.MSC:33B15, 26D07, 26B25.
Jing Zhang, Huan-Nan Shi
semanticscholar   +1 more source

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source

Complete monotonicity properties and asymptotic expansions of the logarithm of the gamma function

, 2015
We prove two conjectures of Chen concerning the complete monotonicity properties of some functions involving the gamma and polygamma functions. We prove asymptotic expansions of the logarithm of the gamma function in terms of the polygamma functions, and
Chao Chen, Jing-Yun Liu
semanticscholar   +1 more source

Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic

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  

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, Bataller E, Gomis J, Sánchez A, Toledo-Perona R, De la Fe C, Corrales JC, Gómez-Martín Á.   +7 more
europepmc   +1 more source

INEQUALITIES FOR THE INCOMPLETE GAMMA FUNCTION

, 2000
We prove some monotonicity results for the incomplete gamma function, Γ(a, x) = ∞ ∫ x e−t ta−1dt, from which some inequalities for Γ(a, x) follow. Mathematics subject classification (1991): 33B15.
P. Natalini, B. Palumbo
semanticscholar   +1 more source

On k-analogues of digamma and polygamma functions

, 2018
In this work, we obtain some integral representations of k -analogue of classical digamma function ψ(x) . Then by using the concepts of neutrix and neutrix limit, we generalize the k digamma function ψk(x) and the k -polygamma function ψ (r) k (x) for ...
E. Yıldırım, I. Ege
semanticscholar   +1 more source