In this paper, the complete monotonic parameter function involving the Gamma function is considered. The necessary and sufficient condition of the parameter f is presented. As an application, two meaningful inequalities of Gamma function are obtained
| Published in |
Pure and Applied Mathematics Journal (Volume 4, Issue 5-1)
This article belongs to the Special Issue Mathematical Aspects of Engineering Disciplines |
| DOI | 10.11648/j.pamj.s.2015040501.14 |
| Page(s) | 20-23 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Gamma function, Completely Monotonicity, Inequalities
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| [5] | Ch.-P.Chen. Some properties of functions related to the gamma, psi and tetragamma functions. Computers and Mathematics with Applications.2011, 62:3389-3395. |
| [6] | Bin Chen. Some properties on the function involving the Gamma function. Applied Mathematics. 2012, 3(6): 587-589. |
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APA Style
Bin Chen, Rong Miao. (2015). On The Parameter Function Involving Gamma Function and Its Applications. Pure and Applied Mathematics Journal, 4(5-1), 20-23. https://doi.org/10.11648/j.pamj.s.2015040501.14
ACS Style
Bin Chen; Rong Miao. On The Parameter Function Involving Gamma Function and Its Applications. Pure Appl. Math. J. 2015, 4(5-1), 20-23. doi: 10.11648/j.pamj.s.2015040501.14
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Download@article{10.11648/j.pamj.s.2015040501.14,
author = {Bin Chen and Rong Miao},
title = {On The Parameter Function Involving Gamma Function and Its Applications},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {5-1},
pages = {20-23},
doi = {10.11648/j.pamj.s.2015040501.14},
url = {https://doi.org/10.11648/j.pamj.s.2015040501.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2015040501.14},
abstract = {In this paper, the complete monotonic parameter function involving the Gamma function is considered. The necessary and sufficient condition of the parameter f is presented. As an application, two meaningful inequalities of Gamma function are obtained},
year = {2015}
}
TY - JOUR T1 - On The Parameter Function Involving Gamma Function and Its Applications AU - Bin Chen AU - Rong Miao Y1 - 2015/07/25 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.s.2015040501.14 DO - 10.11648/j.pamj.s.2015040501.14 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 20 EP - 23 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2015040501.14 AB - In this paper, the complete monotonic parameter function involving the Gamma function is considered. The necessary and sufficient condition of the parameter f is presented. As an application, two meaningful inequalities of Gamma function are obtained VL - 4 IS - 5-1 ER -
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