Results 281 to 290 of about 1,392,967 (336)

On gamma function inequalities

Scandinavian Actuarial Journal, 1973
Watson'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, 1978
By 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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Note on the Gamma Function

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 and the Incomplete Gamma Functions

2017
The 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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Completely monotonic functions related to the gamma and the q-gamma functions

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Continued Fraction Approximation for the Gamma Function by the Tri-gamma Function

Results in Mathematics, 2017
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On the functional equations of the q-Gamma function

Aequationes mathematicae, 2014
A functional equation is a relationship between values of a function with different arguments. The author mentions some classical functional relations of the gamma function and \(q\)-gamma function. \textit{E. Artin} [The gamma function. New York-Chicago-San Francisco-Toronto-London: Holt, Rinehart and Winston (1964; Zbl 0144.06802)] provides a ...
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