Results 11 to 20 of about 539 (144)
Limit formulas for ratios of polygamma functions at their singularities [PDF]
Feng Qi, Limit formulas for ratios between derivatives of the
gamma and digamma functions at their singularities, Filomat 27 (2013), no. 4,
601--604, 2012 In the paper the author presents limit formulas for ratios of polygamma functions at their singularities.Comment: 4 ...
Qi, Feng
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Logarithmic mean inequality for generalized trigonometric and hyperbolic functions [PDF]
arXiv, 2014 In this paper we study the convexity and concavity properties of generalized trigonometric and hyperbolic functions in case of Logarithmic mean.Comment:
Barkat Ali, Bhayo, Li Yin
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Absolute monotonicity of a function involving the exponential function
, 2014 In the paper, the author verifies the absolute monotonicity of a function involving the exponential function. Keywords: absolute monotonicity; absolutely monotonic function; completely monotonic function; completely monotonic degree; exponential function
Feng Qi
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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Demonstratio Mathematica, 2022 In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of ...
Chen Xue-Yan +3 more
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On logarithm of circular and hyperbolic functions and bounds for exp(±x2)
Acta Universitatis Sapientiae: Mathematica, 2022 We show that certain known or new inequalities for the logarithm of circular hyperbolic functions imply bounds for exp(±x2) proved in [1].
Sándor József
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Learning linear non-Gaussian graphical models with multidirected edges
Journal of Causal Inference, 2021 In this article, we propose a new method to learn the underlying acyclic mixed graph of a linear non-Gaussian structural equation model with given observational data.
Liu Yiheng, Robeva Elina, Wang Huanqing
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On the generalized Becker-Stark type inequalities
Acta Universitatis Sapientiae: Mathematica, 2021 In this paper, we establish several generalized Becker-Stark type inequalities for the tangent function. We present unified proofs of many inequalities in the existing literature. Graphical illustrations of some obtained results are also presented.
Bagul Yogesh J. +3 more
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Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
Open Mathematics, 2021 In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degenerate ...
Qi Feng +2 more
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Binet's second formula, Hermite's generalization, and two related identities
Open Mathematics, 2023 Legendre was the first to evaluate two well-known integrals involving sines and exponentials. One of these integrals can be used to prove Binet’s second formula for the logarithm of the gamma function.
Boyack Rufus
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