Results 31 to 40 of about 88,745 (291)
Cross sections for 2-to-1 meson–meson scattering
European Physical Journal C: Particles and Fields, 2021 We study the processes $$K{\bar{K}} \rightarrow \phi $$ K K ¯ → ϕ , $$\pi D \rightarrow D^*$$ π D → D ∗ , $$\pi {\bar{D}} \rightarrow {\bar{D}}^*$$ π D ¯ → D ¯ ∗ , and the production of $$\psi (3770)$$ ψ ( 3770 ) , $$\psi (4040)$$ ψ ( 4040 ) , $$\psi ...
Wan-Xia Li, Xiao-Ming Xu, H. J. Weber
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Regional brain dysfunction in insomnia after ischemic stroke: A resting-state fMRI study
Frontiers in Neurology, 2022 ObjectiveThis study aimed to explore the abnormality of local brain function in patients with post-stroke insomnia (PSI) based on fMRI and explore the possible neuropathological mechanisms of insomnia in patients with PSI in combination with the ...
Hongzhuo Wang +7 more
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AxiomsWe systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special cases are also provided.
Juan Luis González-Santander
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Monotonicity of the incomplete gamma function with applications
Journal of Inequalities and Applications, 2016 In the article, we discuss the monotonicity properties of the function x → ( 1 − e − a x p ) 1 / p / ∫ 0 x e − t p d t $x\rightarrow (1-e^{-ax^{p}} )^{1/p}/\int_{0}^{x}e^{-t^{p}}\,dt$ for a , p > 0 $a, p>0$ with p ≠ 1 $p\neq1$ on ( 0 , ∞ ) $(0, \infty ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
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Some inequalities involving the polygamma functions
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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Fractional inclusions of the Hermite–Hadamard type for m-polynomial convex interval-valued functions
Advances in Difference Equations, 2020 The notion of m-polynomial convex interval-valued function Ψ = [ ψ − , ψ + ] $\Psi =[\psi ^{-}, \psi ^{+}]$ is hereby proposed. We point out a relationship that exists between Ψ and its component real-valued functions ψ − $\psi ^{-}$ and ψ + $\psi ^{+}$ .
Eze R. Nwaeze +2 more
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Complete monotonicity involving some ratios of gamma functions
Journal of Inequalities and Applications, 2017 In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic.
Zhen-Hang Yang, Shen-Zhou Zheng
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On rational bounds for the gamma function
Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequality x 2 + p 0 x + p 0 < Γ ( x + 1 ) < x 2 + 9 / 5 x + 9 / 5 $$ \frac{x^{2}+p_{0}}{x+p_{0}}< \Gamma(x+1)< \frac{x^{2}+9/5}{x+9/5} $$ holds for all x ∈ ( 0 , 1 ) $x\in(0, 1)$ , we present the best possible ...
Zhen-Hang Yang +3 more
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AIMS Mathematics, 2022 We consider a fractional differential inequality involving $ \psi $-Caputo fractional derivatives of different orders, with a polynomial nonlinearity and a singular potential term.
Ibtisam Aldawish +2 more
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Padé approximant related to the Wallis formula
Journal of Inequalities and Applications, 2017 Based on the Padé approximation method, in this paper we determine the coefficients a j $a_{j}$ and b j $b_{j}$ such that π = ( ( 2 n ) ! ! ( 2 n − 1 ) ! ! ) 2 { n k + a 1 n k − 1 + ⋯ + a k n k + 1 + b 1 n k + ⋯ + b k + 1 + O ( 1 n 2 k + 3 ) } , n → ∞ , $
Long Lin, Wen-Cheng Ma, Chao-Ping Chen
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