Results 1 to 10 of about 2,821,192 (174)
Some inequalities involving the polygamma functions [PDF]
Journal of Inequalities and Applications, 2019 Let ψn(x)=(−1)n−1ψ(n)(x) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$, where ψ(n)(x) $\psi ^{(n)}(x)$ are the polygamma functions. We determine necessary and sufficient conditions for the monotonicity and convexity of the function F(x;α,β)=ln(exp(αψ(x+β))ψn(x)
Lichun Liang, Bin Zhao, Aibing Li
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Some Inequalities for the q-Analogue of the Classical Riemann Zeta Functions and the q-Polygamma Functions [PDF]
The Scientific World Journal, 2014 We present the generalizations on some inequalities for the q-analogue of the classical Riemann zeta functions and the q-polygamma functions.
Banyat Sroysang
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Some monotonicity properties and inequalities for the generalized digamma and polygamma functions [PDF]
Journal of Inequalities and Applications, 2018 Several monotonicity and concavity results related to the generalized digamma and polygamma functions are presented. This extends and generalizes the main results of Qi and Guo and others.
Li Yin +3 more
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Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions
Journal of Inequalities and Applications, 2020 In this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving
Ju-Mei Zhang, Li Yin, Hong-Lian You
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Decreasing properties of two ratios defined by three and four polygamma functions [PDF]
Comptes Rendus. Mathématique, 2022 In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three monotonicity rules for the ratios of two functions, of two definite integrals, and of two Laplace transforms, in terms of the majorization, and in the ...
Qi, Feng
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Mathematics, 2023 In this paper, the authors review and survey some results published since 2020 about (complete) monotonicity, inequalities, and their necessary and sufficient conditions for several newly introduced functions involving polygamma functions and originating
Feng Qi, Ravi Prakash Agarwal
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Nanoparticle-Mediated Lipid Metabolic Reprogramming of T Cells in Tumor Microenvironments for Immunometabolic Therapy [PDF]
Nano-Micro Letters, 2021 Highlights aCD3/F/AN, anti-CD3e f(ab′)2 fragment-modified and fenofibrate-encapsulated amphiphilic nanoparticle, reprogrammed mitochondrial lipid metabolism of T cells.
Dongyoon Kim +3 more
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Summation of some infinite series by the methods of Hypergeometric functions and partial fractions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this article we obtain the summations of some infinite series by partial fraction method and by using certain hypergeometric summation theorems of positive and negative unit arguments, Riemann Zeta functions, polygamma functions, lower case beta ...
M.I. Qureshi, J. Majid, A.H. Bhat
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A class of completely monotonic functions involving the polygamma functions
Journal of Inequalities and Applications, 2022 Let Γ ( x ) $\Gamma (x)$ denote the classical Euler gamma function. We set ψ n ( x ) = ( − 1 ) n − 1 ψ ( n ) ( x ) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$ ( n ∈ N $n\in \mathbb{N}$ ), where ψ ( n ) ( x ) $\psi ^{(n)}(x)$ denotes the nth derivative of the
Li-Chun Liang, Li-Fei Zheng, Aying Wan
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Arab Journal of Basic and Applied Sciences, 2021 In the paper, the author presents bounds for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function. This result partially confirms one in a series of conjectures on completely monotonic degrees of remainders of ...
Feng Qi
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