On harmonic binomial series [PDF]
arXiv, 2008 We evaluate binomial series with harmonic number coefficients, providing recursion relations, integral representations, and several examples. The results are of interest to analytic number theory, the analysis of algorithms, and calculations of theoretical physics, as well as other applications.
arxiv
Expressions for two generalized Furdui series [PDF]
arXiv, 2009 We solve two problems of analysis and special function theory recently posed by Furdui. The series in question are special cases in our solution.
arxiv
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.
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Derivatives with respect to the order of the Bessel function of the first kind [PDF]
arXiv, 2014 An explicit expression of the k-th derivative of the Bessel function $J_\nu(z)$, with respect to its order $\nu$, is given. Particularizations for the cases of positive or negative $\nu$ are considered.
arxiv
The $(p,q)$-Analogues of Some Inequalities for the Digamma Function [PDF]
Journal of Inequalities and Special Functions, 5(2), 2014, 10-14, 2014 In this paper, we present the (p; q)-analogues of some inequalities concerning the digamma function. Our results generalize some earlier results.
arxiv
Inhibition of microRNA-33b specifically ameliorates abdominal aortic aneurysm formation via suppression of inflammatory pathways. [PDF]
Sci Rep, 2022 Yamasaki T +19 more
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Notes on three conjectures involving the digamma and generalized digamma functions. [PDF]
J Inequal Appl, 2018 Matejíčka L.
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Optimal bounds for the generalized Euler-Mascheroni constant. [PDF]
J Inequal Appl, 2018 Huang TR, Han BW, Ma XY, Chu YM.
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Approximation for the gamma function via the tri-gamma function. [PDF]
J Inequal Appl, 2017 You X, Li X.
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Padé approximant related to the Wallis formula. [PDF]
J Inequal Appl, 2017 Lin L, Ma WC, Chen CP.
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