Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...

An exponential function is a mathematical function in the form of \( f(x) = a^x \) where \(x\) is an exponent and \(a\) is a constant (also known as the base) and where \( a \in \mathbb{R}^+ \) and \( ...

Certain structural properties of the exponential-type families are studied under three headings: (1) mean value function and the exponential-type families, (2) a characterization of the Gamma family ...

Department of Statistics, Sardar Patel University, Anand, India. Several characterizations of power function distribution have been made notably by Fisz [1], Basu [2], Govindarajulu [3] and Dallas [4] ...

Department of Mathematics, Kotebe University of Education, Addis Ababa, Ethiopia This study introduces a five-parameter continuous probability model named the Beta-Exponential-Gaussian distribution by ...