Certain inequalities involving the k-Struve function
Journal of Inequalities and Applications, 2017 We aim to introduce a k-Struve function and investigate its various properties, including mainly certain inequalities associated with this function. One of the inequalities given here is pointed out to be related to the so-called classical Turán-type ...
Kottakkaran Sooppy Nisar +2 more
doaj +1 more source
Accurate Thermodynamic Properties of Ideal Bosons in a Highly Anisotropic 2D Harmonic Potential. [PDF]
Entropy (Basel), 2023 Cheng Z.
europepmc +1 more source
On some properties of the gamma function [PDF]
, 2008 In this paper we prove a complete monotonicity theorem and establish some upper and lower bounds for the gamma function in terms of digamma and polygamma ...
Batir, Necdet
core +1 more source
On an integral involving the digamma function
, 2012 We consider several possible approaches to evaluating an integral involving the digamma function and a related logarithmic series.
openaire +2 more sources
Error Bounds for Fractional Integral Inequalities with Applications
Fractal and FractionalFractional calculus has been a concept used to obtain new variants of some well-known integral inequalities. In this study, our main goal is to establish the new fractional Hermite–Hadamard, and Simpson’s type estimates by employing a differentiable ...
Nouf Abdulrahman Alqahtani +4 more
doaj +1 more source
Three Classes of Logarithmically Completely Monotonic Functions Involving Gamma and Psi Functions [PDF]
, 2006 By a simple approach, two classes of functions involving Euler’s gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions involving the psi function is showed ...
Qi, Feng
core
A new class of integral relation involving ℵ-functions, [PDF]
Surveys in Mathematics and its Applications, 2017 The present article is devoted to evaluate new integral relations involving the ℵ-functions. The results are expressed in the terms of the Psi functions.
D.L. Suthar, Belete Debalkie
doaj
Completely monotonic degrees of remainders of asymptotic expansions of the digamma function: Completely monotonic degrees of remainders [PDF]
, 2019 Motivated by several conjectures posed in the paper [F. Qi and A.-Q. Liu, Completely monotonic degrees for a difference between the logarithmic and psi functions, J. Comput. Appl. Math.
Qi, Feng, Mahmoud, Mansour,
core
Improving an Approximation of the Digamma Function with Applications in Statistic [PDF]
The Egyptian Statistical Journal, 1991 Zeinab Selim
doaj +1 more source
Monotonic nature of the Gamma function
Journal of Inequalities and ApplicationsThis study begins by examining the monotonic behavior of the function ln Γ ( x + 1 ) / ( ln ( x 2 + 6 ) − ln ( x + 6 ) ) $\ln \Gamma (x+1)/\left (\ln \left (x^{2}+6\right )-\ln (x+6)\right )$ on the interval x ∈ ( − 1 , 1 ) $x\in (-1,1)$ , supported by ...
Teodor Bulboacă, Hanaa M. Zayed
doaj +1 more source