Estimating the Gamma and the Q-Gamma Functions in the Neutrix Sense

Research Article | DOI: https://doi.org/10.31579/2690-0440/007

Estimating the Gamma and the Q-Gamma Functions in the Neutrix Sense

  • Ahmed Salem 1

Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

*Corresponding Author: Ahmed Salem, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia, 

Citation: Ahmed Salem (2022) Estimating the gamma and the q-gamma functions in the neutrix sense. J Mathematical Methods in Engineering. 3(1): DOI: 10.31579/ 2690-0440/007

Copyright:  © 2022 Ahmed S. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium,provided the original author and source are credited.

Received: 04 January 2022 | Accepted: 21 February 2022 | Published: 30 March 2022

Keywords: gamma function; incomplete gamma functions ; q-gamma function; incomplete q- gamma function; neutrices ; neutrix limit

Abstract

In this paper, the concepts of neutrices and neutrix limit are used to estimate the values of gamma and incomplete gamma functions and their q-analogues when < q < 1 in the neutrix

sense at zero and negative integers. Also the values of rth derivatives of these functions are estimate for r=1, 2, ••

References

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