Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function
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DOI: 10.1515/dema-2024-0041
Abstract: Abstract In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing… read more here.
Keywords: trigamma function; involving trigamma; function; completely monotonic ... See more keywords
Characterizations of Some Probability Distributions with Completely Monotonic Density Functions
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DOI: 10.18187/pjsor.v17i1.3491
Abstract: For a non-negative continuous random variable X, Chaudhry and Zubair (2002) introduced a probability distribution with a completely monotonic probability density function based on the generalized gamma function, and called it the Macdonald probability function.… read more here.
Keywords: probability distributions; distributions completely; density functions; completely monotonic ... See more keywords
A complete monotonicity property of the multiple gamma function
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DOI: 10.5802/crmath.115
Abstract: We consider the following functions fn (x) = 1− ln x + lnGn (x +1) x and gn (x) = x Gn (x +1) x , x ∈ (0,∞), n ∈N, where Gn (z) =… read more here.
Keywords: complete monotonicity; completely monotonic; gamma function; function ... See more keywords