Two Approximation Formulas for Gamma Function with Monotonic Remainders

Mansour Mahmoud () and Hanan Almuashi
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Mansour Mahmoud: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Hanan Almuashi: Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

Mathematics, 2024, vol. 12, issue 5, 1-15

Abstract: In this paper, two new approximation formulas with monotonic remainders for the gamma function have been presented. Also, we present some numerical comparisons between our new approximation formulas and some known ones, which demonstrate the superiority of our results.

Keywords: gamma function; approximation formula; monotonicity; Psi function; inequality; sharp constant (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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