A class of harmonic univalent functions defined by the q-derivative operator

Document Type : Research Paper


Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Iraq


In this paper, a class of harmonic univalent functions has been studied by using q-analogue of the derivative operator for complex harmonic functions. We have obtained a sufficient condition, a representation theorem for this harmonic univalent functions class and some other geometric properties.