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An Asymptotic Expansion for the Generalized Gamma Function

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  • Additional Information
    • Publication Information:
      MDPI AG, 2022.
    • Publication Date:
      2022
    • Collection:
      LCC:Mathematics
    • Abstract:
      The symmetric patterns that inequalities contain are reflected in researchers’ studies in many mathematical sciences. In this paper, we prove an asymptotic expansion for the generalized gamma function Γμ(v) and study the completely monotonic (CM) property of a function involving Γμ(v) and the generalized digamma function ψμ(v). As a consequence, we establish some bounds for Γμ(v), ψμ(v) and polygamma functions ψμ(r)(v), r≥1.
    • File Description:
      electronic resource
    • ISSN:
      2073-8994
    • Relation:
      https://www.mdpi.com/2073-8994/14/7/1412; https://doaj.org/toc/2073-8994
    • Accession Number:
      10.3390/sym14071412
    • Accession Number:
      edsdoj.fbd33d6590f241da8c39eaa4ab6ef1ae