N TAGHIZADEH
V SOLTANI MOHAMMADI
H EMKANPOUR

In this article, by the parqueting-reflection method we obtainthe Schwarz{Poisson formula in a minor segment of unit disc. Then weconsider the Schwarz and Dirichlet boundary value problems for the non-homogeneous Cauchy{Riemann equation and expressions of solution andthe condition of solvability are explicitly obtained.

Cauchy-Pompeiu formula, Schwarz problem, Dirichlet problem, Unit disc