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

Author:

Mahmoud Mansour,Almuashi Hanan

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.

Funder

Institutional Fund Projects

Ministry of Education

King Abdulaziz University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference14 articles.

1. Erdélyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F.G. (1981). Higher Transcendental Functions, McGraw-Hill Inc.. California Institute of Technology-Bateman Manuscript Project, 1953–1955.

2. Andrews, G.E., Askey, R.A., and Roy, R. (1999). Special Functions, Cambridge University Press. Encyclopedia of Mathematics and Its Applications 71.

3. Some properties of the gamma and psi functions with applications;Qiu;Math. Comp.,2004

4. A sharp inequality involving the psi function;Mortici;Acta Univ. Apulensis,2010

5. Some approximations of the Bateman’s G-function;Mahmoud;J. Comput. Anal. Appl.,2017

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