Some generalised extended incomplete beta functions and applications

Year 2022, Volume: 11 Issue: 2, 132 - 142, 31.08.2022

Oğuz Yağcı , Recep Şahin , İ. Onur Kıymaz , Ayşegül Çetinkaya

https://doi.org/10.54187/jnrs.1143905

Abstract

This paper introduces generalised incomplete beta functions defined by the generalised beta function. Firstly, we provide some of the generalised beta function's basic properties, such as integral representations, summation formulas, Mellin transform, and beta distribution. We then present several fundamental properties, such as integral representations, summation formulas, and recurrence relations with the help of the generalised incomplete beta functions.

Keywords

Gamma function, Beta function, Incomplete beta function, Beta distribution

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