Derivation of Incomplete gamma functions properties with applications

Authors

  • Rami AlAhmad Yarmouk University
  • Mohamed Riffi Islamic University of Gaza
  • Mohammad Baha Rababah Yarmouk University

DOI:

https://doi.org/10.1285/i20705948v18n2p282

Keywords:

Gamma distributions, order statistics, hypergeometric function, Whittaker function, bivariate distributions, bivariate Gamma distributions

Abstract

We derive some useful identities for the incomplete gamma functions using probabilistic techniques. In particular, we use distributions of order statistics from the gamma distribution to derive some identities that involve integration of functions of the incomplete gamma function. We use these properties to construct bivariate Gamma distributions.

Author Biographies

Rami AlAhmad, Yarmouk University

Mathematics department, Associate Professor

Mohamed Riffi, Islamic University of Gaza

Mathematics department, Professor

Downloads

Published

30-10-2025

Issue

Vol. 18 No. 2 (2025): Electronic Journal of Applied Statistical Analysis

Section

Original Paper

License

Authors who publish with EJASA agree to the  Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.