Results 91 to 100 of about 5,395,506 (201)
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.
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SOME INEQUALITIES FOR THE RATIOS OF GENERALIZED DIGAMMA FUNCTIONS
, 2015 Copyright c © 2014 Kwara Nantomah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited ...
Kwara Nantomah
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Stirling numbers and inverse factorial series [PDF]
Contributions to Mathematics, 2023 Khristo N. Boyadzhiev
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Improving an Approximation of the Digamma Function with Applications in Statistic [PDF]
The Egyptian Statistical Journal, 1991 Zeinab Selim
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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
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Accurate Thermodynamic Properties of Ideal Bosons in a Highly Anisotropic 2D Harmonic Potential. [PDF]
Entropy (Basel), 2023 Cheng Z.
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, 2022 A modular relation of the form F(?,w)=F(?,iw), where i=??1and ??=1, is obtained. It involves the generalized digamma function ?w(a) which was recently studied by the authors in their work on developing the theory of the generalized Hurwitz zeta function ?
Kumar, Rahul, Dixit, Atul
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Some inequalities involving ratios and products of the gamma function
Le Matematiche, 2013 In this paper, we establish some generalized inequalities for the gamma function using the properties of logarithmically convex/concave functions.
Mridula Garg +2 more
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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
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Inequalities involving the gamma and digamma functions
, 2018 We improve the upper bounds of the following inequalities proved in [H. Alzer and N. Batir, Monotonicity properties of the gamma function, Appl. Math. Letters, 20(2007), 778-781]. \begin{equation*} exp\left(-\frac{1}{2}ψ\left(x+\frac{1}{3}\right)\right)
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