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Two Approximation Formulas for Bateman’s G -Function with Bounded Monotonic Errors

Author

Listed:
  • Mansour Mahmoud

    (Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Hanan Almuashi

    (Mathematics Department, Faculty of Science, Jeddah University, P.O. Box 80327, Jeddah 21589, Saudi Arabia)

Abstract

Two new approximation formulas for Bateman’s G -function are presented with strictly monotonic error functions and we deduced their sharp bounds. We also studied the completely monotonic (CM) degrees of two functions involving G ( r ) , deducing two of its inequalities and improving some of the recently published results.

Suggested Citation

  • Mansour Mahmoud & Hanan Almuashi, 2022. "Two Approximation Formulas for Bateman’s G -Function with Bounded Monotonic Errors," Mathematics, MDPI, vol. 10(24), pages 1-8, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4787-:d:1005259
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