%0 Journal Article %T Explicit solution of a class of Riemann-Hilbert problems %A Darren Crowdy %J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica %D 2009 %I Krak¨®w : Wydawnictwo Naukowe Uniwersytetu Pedagogicznego %X Analytical solutions to a special class of Riemann-Hilbert boundary value problems on multiply connected domains are presented. The solutions are written, up to a finite number of accessory parameters, as non-singular indefinite integrals whose integrands are expressed in terms of the Schottky-Klein prime function associated with the Schottky double of the planar domain. %U http://studmath.up.krakow.pl/index.php/studmath/article/view/77