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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… Click to show full 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.
Keywords:
gamma function;
function;
asymptotic expansion;
generalized gamma;
expansion generalized
Journal Title: Symmetry
Year Published: 2022
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!