International Journal of Management, IT and Engineering
  • Year: 2019
  • Volume: 9
  • Issue: 7

On a class of starlike functions of complex order using q-differential operator

  • Author:
  • K. Ramachandran, K. Srinivasan
  • Total Page Count: 16
  • Page Number: 53 to 68

*Department of Mathematics, SRM University, Ramapuram, Chennai-601206, Tamilnadu, India. bharaniram22@gmail.com

**Department of Mathematics, Presidency College, Chennai-600 005, Tamilnadu, India

Online published on 24 October, 2019.

Abstract

A subclass of starlike functions of complex order is defined using q-differential operator which unifies well-known Dziok-Srivastava operator and Salagean differential operator. Coefficient inequalities, sufficient condition and an interesting subordination result are obtained. Finally, we give relevant connections of our main results with former results obtained by various other authors.

Keywords

Calculus, univalent functions, starlike functions, convex function, subordination, Dziok-Srivastava operator