APPLIED JOURNAL OF PHYSICAL SCIENCE
Integrity Research Journals
ISSN: 2756-6684
Model: Open Access/Peer Reviewed
DOI: 10.31248/AJPS
Start Year: 2018
Email: ajps@integrityresjournals.org
Some inequalities bounding certain ratios of the q-gamma function
https://doi.org/10.31248/AJPS2023.092 | Article Number: 1BDE36A91 | Vol.5 (3) - June 2023
Received Date: 29 March 2023 | Accepted Date: 16 June 2023 | Published Date: 30 June 2023
Author: Hashimu, Mohammed
Keywords: psi function, Mean value theorem, q-analogue of the psi function, q-gamma functions, strict logarithmic convexity.
In this short paper, we established q- analogues of some well-known inequalities for the classical Gamma function and some inequalities bounding the ratio , where is the q-analogue of the Gamma function. The method employed in presenting the results made use of strict logarithmic convexity of a function and classical mean value theorem involving the q-analogue of the psi function. At the end, the proven result provided the q-analogue of some known result concerning the classical Gamma function.
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