毕伽马函数及其一些相关不等式

arXiv - MATH - General Mathematics Pub Date : 2024-05-26 DOI:arxiv-2405.19368

Raissoulii, Mohamed Chergui

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引用次数: 0

摘要

在本文中，我们定义了一个特殊函数，叫做比伽马函数。它是欧拉伽马函数的广义化。我们研究了这个新函数的几个代数特性。特别是提供了将这个新函数与标准贝塔函数联系起来的结果。我们还建立了不等式，从而可以逼近这个新函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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arXiv - MATH - General Mathematics

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