Approximations for the Psi (Digamma) Function [PDF]
Mathematics of Computation, 1967 William T. Moody
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Complete monotonicity of some functions involving k-digamma function with application [PDF]
Journal of Mathematical Inequalities, 2021 Summary: We present several complete monotonicity properties involving \(k\)-digamma function with single parameter. These established results provide a \(k\)-generalization for the known results obtained by \textit{T. Burić} and \textit{N. Elezović}, J. Math. Inequal. 9, No. 4, 1181--1190 (2015; Zbl 1333.26034).
Yin, Li, Huang, Li-Guo, Lin, Xiu-Li
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New Closed Form Estimators for the Beta Distribution
Mathematics, 2023 In this paper, we detail closed form estimators for beta distribution that are simpler than those proposed by Tamae, Irie and Kubokawa. The proposed estimators are shown to have smaller asymptotic variances and smaller asymptotic covariances compared to ...
Victor Mooto Nawa, Saralees Nadarajah
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New developments in fractional integral inequalities via convexity with applications
AIMS Mathematics, 2023 The main objective of this article is to build up a new integral equality related to Riemann Liouville fractional (RLF) operator. Based on this integral equality, we show numerous new inequalities for differentiable convex as well as concave functions ...
Maimoona Karim +4 more
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Transcendental values of the p-adic digamma function [PDF]
Acta Arithmetica, 2008 M. Ram Murty, N. Saradha
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Monotonic and Logarithmically Convex Properties of a Function Involving Gamma Functions
Journal of Inequalities and Applications, 2009 Using the series-expansion of digamma functions and other techniques, some monotonicity and logarithmical concavity involving the ratio of gamma function are obtained, which is to give a partially affirmative answer to an open problem posed by B.-N.Guo ...
Tie-Hong Zhao +2 more
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Extension of complete monotonicity results involving the digamma function
Moroccan Journal of Pure and Applied Analysis, 2018 By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
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MONOTONICITY AND CONVEXITY PROPERTIES OF THE NIELSEN’S β-FUNCTION
Проблемы анализа, 2017 The Nielsen’s β-function provides a powerful tool for evaluating and estimating certain integrals, series and mathematical constants. It is related to other special functions such as the digamma function, the Euler’s beta function and the Gauss ...
Kwara Nantomah
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The sum of the series of reciprocals of the cubic polynomials with one zero and double non-zero integer root [PDF]
Mathematics in Education, Research and Applications, 2019 This contribution is a follow-up to author’s previous published papers and deals with the sum of the series of reciprocals of the cubic polynomials with one zero and double non-zero integer root.
Radovan Potůček
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Complete monotonicity related to the k-polygamma functions with applications
Advances in Difference Equations, 2019 In this paper, we prove complete monotonicity of some functions involving k-polygamma functions. As an application of the main result, we also give new upper and lower bounds of the k-digamma function.
Li Yin, Jumei Zhang, XiuLi Lin
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