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Two Approximation Formulas for Gamma Function with Monotonic Remainders

Author

Listed:
  • Mansour Mahmoud

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

  • Hanan Almuashi

    (Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Mansour Mahmoud & Hanan Almuashi, 2024. "Two Approximation Formulas for Gamma Function with Monotonic Remainders," Mathematics, MDPI, vol. 12(5), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:5:p:655-:d:1344771
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    References listed on IDEAS

    as
    1. Wang, Miao-Kun & Chu, Yu-Ming & Song, Ying-Qing, 2016. "Asymptotical formulas for Gaussian and generalized hypergeometric functions," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 44-60.
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