SOME SUBORDINATION RESULTS ASSOCIATED WITH GENERALIZED RUSCHEWEYH DERIVATIVES

ABDUL RAHMAN S.  JUMA; FATEH S.  AZIZ

SOME SUBORDINATION RESULTS ASSOCIATED WITH GENERALIZED RUSCHEWEYH DERIVATIVES

Authors

ABDUL RAHMAN S. JUMA Department of Mathematics, Alanbar University, Ramadi, Iraq
FATEH S. AZIZ Department of Mathematics, Salahaddin University, Erbil, Region of Kurdistan, Iraq

Keywords:

Starlike functions of complex order, Convex functions of complex order, Subordination, generalized Ruscheweyh derivative

Abstract

In this paper, we consider an unified class of functions of complex order associated with generalized Ruscheweyh derivative. We obtain a necessary and sufficient condition for functions to be in this class.