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

Mansour Mahmoud () and Hanan Almuashi
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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

Mathematics, 2022, vol. 10, issue 24, 1-8

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.

Keywords: Bateman’s G -function; approximation formula; error; CM degree; inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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