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Menopausal insomnia as a modifiable node of dementia risk: Mechanistic insights and intervention strategies. [PDF]
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Journal of Convex Analysis, 2014
We define the quasi-gamma functions as the functions f: ]0,\infty[ \longrightarrow ]0,\infty[ f : ] 0
Bermúdez, Teresa +2 more
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We define the quasi-gamma functions as the functions f: ]0,\infty[ \longrightarrow ]0,\infty[ f : ] 0
Bermúdez, Teresa +2 more
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On gamma function inequalities
Scandinavian Actuarial Journal, 1973Watson's method [1] is used to find two convergent monotonically non-decreasing sequences whose upper bounds are equal to Γ(l)Γ(l∓2a)/Γ2(l∓a) ( = K say), provided l > max (0, - 2a). Boyd [2] showed that Gurland's inequality [3] for K corresponds to the first term of the first sequence; Raja Rao's inequality [4] corresponds to the second term of the ...
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An Inequality for Gamma Functions
Canadian Mathematical Bulletin, 1978By using Bellman-Wishart distribution, Bellman [1], an inequality for gamma functions is derived. This inequality generalizes a recent inequality given by Selliah [4].
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Multiple Gamma and related functions
Applied Mathematics and Computation, 2003The authors give several new (and potentially useful) relationships between the multiple Gamma functions and other mathematical functions and constants. As by-products of some of these relationships, a classical definite integral due to Euler and other definite integrals are also considered together with closed-form evaluations of some series involving
Junesang Choi +2 more
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The Gamma Function and the Incomplete Gamma Functions
2017The gamma function is defined for \(s \in \mathbb{C}\) by $$\displaystyle{ \varGamma \left (s\right ) =\int _{ 0}^{\infty }t^{s-1}e^{-t}dt }$$
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Canadian Journal of Mathematics, 1954
The gamma function Γ(z + 1) = П(z) has been defined in different ways:(1)(Weierstrass)(2)(Kuler)(3)(Gauss)(4)(Euler)(5)(Lerch)
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The gamma function Γ(z + 1) = П(z) has been defined in different ways:(1)(Weierstrass)(2)(Kuler)(3)(Gauss)(4)(Euler)(5)(Lerch)
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