On the Power Series Expansion of the Reciprocal Gamma Function [PDF]
Using the reflection formula of the Gamma function, we derive a new formula for the Taylor coefficients of the reciprocal Gamma function. The new formula provides effective asymptotic values for the coefficients even for very small values of the indices.
Fekih-Ahmed, Lazhar
core
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.
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Some Inequalities for the Ratios of Generalized Digamma Functions
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
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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
A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
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Antibacterial potential of commercial and wild lactic acid bacteria strains isolated from ovine and caprine raw milk against Mycoplasma agalactiae. [PDF]
Toquet M +7 more
europepmc +1 more source
Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]
Qi F, Huang CJ.
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Integral representations for a generalized Hermite linear functional
In this paper we find new integral representations for the {\it generalized Hermite linear functional} in the real line and the complex plane.
Costas-Santos, R. S., Sfaxi, Ridha
core
Inhibition of microRNA-33b specifically ameliorates abdominal aortic aneurysm formation via suppression of inflammatory pathways. [PDF]
Yamasaki T +19 more
europepmc +1 more source
Notes on three conjectures involving the digamma and generalized digamma functions. [PDF]
Matejíčka L.
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