The Bigamma function and some of its related inequalities

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.

Keywords

• gamma function
• bigamma function
• special functions

References

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