Title of article :
Schwarz boundary value problem on a triangle
Author/Authors :
Joveini ، Fatemeh Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Guilan , Akbari ، Mozhgan Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Guilan
Abstract :
In this paper, the Schwarz boundary value problem (BVP) for the inhomogeneous Cauchy-Riemann equation in a triangle is investigated explicitly. Firstly, by the technique of parquetingreflection and the Cauchy-Pompeiu representation formula a modified Cauchy-Schwarz representation formula is obtained. Then, the solution of the Schwarz BVP is explicitly solved. In particular, the boundary behaviors at the corner points are considered.
Keywords :
Schwarz problem , Cauchy , Pompeiu formula , CauchySchwarz representation , Triangle
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
