Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function

Chao-Ping Chen, Richard B. Paris

    Research output: Contribution to journalArticlepeer-review

    31 Citations (Scopus)
    267 Downloads (Pure)

    Abstract

    In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Γ(x + 1)/Γ(x + 1/2) and Γ(x + 1/2).
    Original languageEnglish
    Pages (from-to)514-529
    Number of pages16
    JournalApplied Mathematics and Computation
    Volume250
    Early online date22 Nov 2014
    DOIs
    Publication statusPublished - 1 Jan 2015

    Keywords

    • Gamma function
    • Psi function
    • Polygamma functions
    • Asymptotic expansion
    • Completely monotonic functions
    • Inequality

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