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.
Joveini, F., Akbari, M. (2020). Schwarz boundary problem on a triangle. Caspian Journal of Mathematical Sciences (CJMS)peer, 9(2), 266-283. doi: 10.22080/cjms.2019.17164.1420
MLA
Fatemeh Joveini; Mozhgan Akbari. "Schwarz boundary problem on a triangle". Caspian Journal of Mathematical Sciences (CJMS)peer, 9, 2, 2020, 266-283. doi: 10.22080/cjms.2019.17164.1420
HARVARD
Joveini, F., Akbari, M. (2020). 'Schwarz boundary problem on a triangle', Caspian Journal of Mathematical Sciences (CJMS)peer, 9(2), pp. 266-283. doi: 10.22080/cjms.2019.17164.1420
VANCOUVER
Joveini, F., Akbari, M. Schwarz boundary problem on a triangle. Caspian Journal of Mathematical Sciences (CJMS)peer, 2020; 9(2): 266-283. doi: 10.22080/cjms.2019.17164.1420
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