Riemann-Hilbert Problems for Multiply Connected Domains and Circular Slit Maps

作者：Mityushev Vladimir^*

来源：Computational Methods and Function Theory, 2011, 11(2): 575-590.

• Multiply connected domain
• Riemann-Hilbert problem
• functional equation
• conformal mapping

A conformal mapping of a multiply connected circular domain onto a complex plane with circular slits is obtained. No restriction on the location of the boundary circles is assumed. The mapping is derived in terms of the uniformly convergent Poincare series by solution to a Riemann-Hilbert boundary value problem.

• 出版日期2011