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Complete Monotonicity of Functions Related to Trigamma and Tetragamma Functions

by Mona Anis1, Hanan Almuashi2, Mansour Mahmoud3,*

1 Faculty of Science, Mathematics Department, Mansoura University, Mansoura, 35516, Egypt
2 Faculty of Science, Mathematics Department, Jeddah University, Jeddah, 21589, Saudi Arabia
3 Faculty of Science, Mathematics Department, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

* Corresponding Author: Mansour Mahmoud. Email: email

(This article belongs to the Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2022, 131(1), 263-275. https://doi.org/10.32604/cmes.2022.016927

Abstract

In this paper, we study the completely monotonic property of two functions involving the function △(x) = and deduce the double inequality , x > 0
which improve some recent results, where ψ(x) is the logarithmic derivative of the Gamma function. Also, we deduce the completely monotonic degree of a function involving ψ'(x).

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APA Style
Anis, M., Almuashi, H., Mahmoud, M. (2022). Complete monotonicity of functions related to trigamma and tetragamma functions. Computer Modeling in Engineering & Sciences, 131(1), 263–275. https://doi.org/10.32604/cmes.2022.016927
Vancouver Style
Anis M, Almuashi H, Mahmoud M. Complete monotonicity of functions related to trigamma and tetragamma functions. Comput Model Eng Sci. 2022;131(1):263–275. https://doi.org/10.32604/cmes.2022.016927
IEEE Style
M. Anis, H. Almuashi, and M. Mahmoud, “Complete Monotonicity of Functions Related to Trigamma and Tetragamma Functions,” Comput. Model. Eng. Sci., vol. 131, no. 1, pp. 263–275, 2022. https://doi.org/10.32604/cmes.2022.016927



cc Copyright © 2022 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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