Abstract
We present a class of distributions of which the distributions with characteristic function , is a subclass, which we have named as α - Laplace, and the whole class as Semi -α - Laplace. A characterization of this class is given i n terms of distribution function. These distributions are partially attracted to a corresponding semi-stable law.
exists for
. They are absolutely continuous for α > 1. Conditions under which Semi - α - Laplace becomes α - Laplace are given. An example o f a Semi - α - Laplace whlch is not α - Laglace is given . A posslble application is also indicated.