The BiGamma Function and some of its Related Inequalities

Fuente: arXiv
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Autori principali: Raissouli, Mustapha, Chergui, Mohamed
Natura: Preprint
Pubblicazione: 2024
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author Raissouli, Mustapha
Chergui, Mohamed
author_facet Raissouli, Mustapha
Chergui, Mohamed
contents In this article, we define a special function called the Bigamma function. It provides a generalization of Euler's gamma function. Several algebraic properties of this new function are studied. In particular, results linking this new function to the standard Beta function have been provided. We have also established inequalities, which allow to approximate this new function.
format Preprint
id arxiv_https___arxiv_org_abs_2405_19368
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The BiGamma Function and some of its Related Inequalities
Raissouli, Mustapha
Chergui, Mohamed
General Mathematics
33B15, 26D15, 33Exx
In this article, we define a special function called the Bigamma function. It provides a generalization of Euler's gamma function. Several algebraic properties of this new function are studied. In particular, results linking this new function to the standard Beta function have been provided. We have also established inequalities, which allow to approximate this new function.
title The BiGamma Function and some of its Related Inequalities
topic General Mathematics
33B15, 26D15, 33Exx
url https://arxiv.org/abs/2405.19368