Some generalised extended incomplete beta functions and applications

Authors : Oğuz Yağci, Recep Şahin, I. Onur Kiymaz, Ayşegül Çetinkaya

Pages : 132-142

Doi:10.54187/jnrs.1143905

View : 19 | Download : 6

Publication Date : 2022-08-31

Article Type : Research

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