Formula for the supremum distribution of a spectrally positive αα-stable Lévy process

In this article we derive formula for probability P(supt≤T(Z(t)−ct)>u)P(supt≤T(Z(t)−ct)>u) where Z={Z(t)}Z={Z(t)} is a spectrally positive αα-stable Lévy process with 0<α≤20<α≤2 and c∈Rc∈R.