On the harmonic starlike functions with respect to symmetric, conjugate and symmetric conjugate points

Abstract

In the present paper, we introduce the notions of functions harmonic starlike with respect to symmetric, conjugate and symmetric conjugate points. Such results as coefficient inequalities and structural formulae for these function classes are proved.

Keywords: Harmonic functions, harmonic starlike functions, symmetric points, conjugate points, symmetric conjugate points

Quaestiones Mathematicae 37(2014), 79–90