ABSTRACT
In this chapter we describe the analysis as well as the methods of solution of a special type of problems of complex variable theory, called Riemann-Hilbert problems (RHP). It will be shown here that converting the equations to RHPs and fi nally solving them can, successfully solve the singular integral equations involving the Cauchy type singularities in their kernels. This method has already been introduced in Chapter 2 in an ad hoc manner to solve a singular integral equation of some special type involving logarithmic type kernel. This method is also known in the literature as function-theoretic method.
