关键词: Riemann boundary value problem, branch points, index, order at infinity,sectionally holomorphic functions

Abstract:

Solution of the Riemann boundary value problem with square roots (1.1) for analytic functions proposed in [1] is reconsidered, which was solved under certain as-sumptions on the branch points appeared. Here, the work is continued without these assumptions and the problem is solved in the general case.

Key words: Riemann boundary value problem, branch points, index, order at infinity,sectionally holomorphic functions