We consider functions φ having the following properties: φ(0)=1, φ(-t) = φ(t) φ is continuable to a function analytic in the upper halfplane. We discuss the problem under which conditions such a ...
The characteristic functions satisfying (2) below are proved to be essentially the semi-stable laws. Auxiliary simultaneous integral equations are studied in Theorems 1, 2, 2' and 3. The final form of ...