Logarithmically Complete Monotonicity Properties Relating to the Gamma Function

Tie-Hong Zhao, Yu-Ming Chu and Hua Wang

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We prove that the function fα,β(x) = Γβ(x + α)/xαΓ(βx) is strictly logarithmically completely monotonic on (0, ∞) if (α,β)∈{( α,β):1110100/α≤β≤, α≠}∪{(α,β):

Date: 2011
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https://doi.org/10.1155/2011/896483

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:896483

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