On a class of mappings garmonic in the half-plane

Abstract

Well known is the class of typically-real functions holomorphic in the unit disc |z|<1, introduced by W. Rogosinski in 1932 ([6]). There were also investigated classes of typically-real functions harmonic in the unit disc ([1,4]). Whereas in the present paper we consider some class of typically-real functions harmonic in the right half-plane. The results are based on the considerations concerning typically-real functions holomorphic in this half-plane ([3,5]).