The Bigamma function and some of its related inequalities

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.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-04-11
DOI
https://doi.org/10.15672/hujms.1490373
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

The Bigamma function and some of its related inequalities

Mustapha Räıssouli, Mohamed Chergui
Hacettepe Journal of Mathematics and Statistics
Mathematical Inequalities and Applications
article

The Bigamma function and some of its related inequalities

Mustapha Räıssouli, Mohamed Chergui
article en

Abstract

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.

Hacettepe Journal of Mathematics and StatisticsVol. 54(5)
Laboratoire de Recherche Scientifique (FR), Instituto Superior da Maia (PT)
Openalex Percentile: Top 90%
Mathematical Inequalities and Applications
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