The beta and gamma functions have recently seen several developments and various extensions because of their nice properties and interesting applications. The contribution of this paper falls within this framework. After introducing a generalized gamma function and two generalized beta functions in several variables, we investigate some inequalities involving these generalized functions.

中文翻译：

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n个变量中涉及两个广义beta函数的一些不等式

beta和gamma函数由于其良好的属性和有趣的应用程序，最近有了一些发展和各种扩展。本文的贡献属于这一框架。在几个变量中引入了广义伽马函数和两个广义β函数之后，我们研究了涉及这些广义函数的一些不等式。