Results 41 to 50 of about 542 (85)

On Solving Some Trigonometric Series [PDF]

, 2013
This communication shows the track for finding a solution for a sin(kx)/k**2 series and a fresh representation for the Euler's Gamma function in terms of Riemann's Zeta function.
Stenlund, Henrik
core  

The evaluation of a definite integral by the method of brackets illustrating its flexibility

Open Mathematics
The method of brackets is a procedure to evaluate definite integrals over a half-line. It consists of a small number of rules. This article illustrates the method by evaluating an integral by several variations of the method. The integrand is the product
Gonzalez Ivan, Santander John Lopez, Moll Victor H.   +2 more
doaj   +1 more source

On the Power Series Expansion of the Reciprocal Gamma Function [PDF]

, 2017
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  

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

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source

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

Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2020
Qi F, Huang CJ.
europepmc   +1 more source

Inhibition of microRNA-33b specifically ameliorates abdominal aortic aneurysm formation via suppression of inflammatory pathways. [PDF]

Sci Rep, 2022
Yamasaki T, Horie T, Koyama S, Nakao T, Baba O, Kimura M, Sowa N, Sakamoto K, Yamazaki K, Obika S, Kasahara Y, Kotera J, Oka K, Fujita R, Sasaki T, Takemiya A, Hasegawa K, Minatoya K, Kimura T, Ono K.   +19 more
europepmc   +1 more source

Notes on three conjectures involving the digamma and generalized digamma functions. [PDF]

J Inequal Appl, 2018
Matejíčka L.
europepmc   +1 more source

Optimal bounds for the generalized Euler-Mascheroni constant. [PDF]

J Inequal Appl, 2018
Huang TR, Han BW, Ma XY, Chu YM.
europepmc   +1 more source