The Real Powers of the Convolution of a Gamma Distribution and a Bernoulli Distribution

Ben Salah Nahla, Masmoudi Afif

In this paper, we essentially compute the set of $x,y>0$ such that the mapping $z \longmapsto \Big{(}1-r+r e^z\Big{)}^x \Big{(}\dis\fracλ{λ-z}\Big{)}^{y}$ is a Laplace transform. I…