  We establish an explicit pricing formula for the class of L\'evy-stable
models with maximal negative asymmetry (Log-L\'evy model with finite moments
and stability parameter $1<\alpha\leq 2$) in the form of rapidly converging
series. The series is obtained with help of Mellin transform and the residue
theory in $\mathbb{C}^2$. The resulting formula enables the straightforward
evaluation of an European option with arbitrary accuracy without the use of
numerical techniques. The formula can be used by any practitioner, even if not
familiar with the underlying mathematical techniques. We test the efficiency of
the formula, and compare it with numerical methods.
