A subclass of harmonic functions with varying arguments defined by Dziok-Srivastava operator

G. Murugusundaramoorthy1, K. Vijaya1, and R. K. Raina2

1 School of Science and Humanities, VIT University Vellore - 632014, India
2 10/11, Ganpati Vihar, Opposite Sector 5 Udaipur 313001, Rajasthan, India


Abstract: Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.

AMSclassification: primary 30C45; secondary 30C50.

Keywords: harmonic univalent starlike functions, Dziok-Srivastava operator, distortion bounds, extreme points, uniformly convex functions.