Abstract
In this paper, we discuss the Riemann boundary value problems for the analytic functions with period in the situation where the solution can be unbounded at . When the jump curve is a closed contour, by using the tangent transformation , we transform the singularities on the z plane to the singularities on the ζ plane. When the jump curve is the real axis, by using the transformation , we transform the singularities on the z plane to the singularities 0 and ∞ on the ω plane. Thus, the original periodic Riemann boundary value problems are reduced to the classical Riemann boundary value problems whose solutions and the corresponding solvability conditions are well known.
Published Version
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