Isaac Scientific Publishing

Advances in Analysis

Coefficient Inequalities of a Subclass of Starlike Functions Involving q - Differential Operator

Download PDF (605.8 KB) PP. 73 - 81 Pub. Date: April 5, 2018

DOI: 10.22606/aan.2018.32002

Author(s)

  • K. R. Karthikeyan
    Department of Mathematics and Statistics, Caledonian College of Engineering, Muscat, Sultanate of Oman
  • K. Amarender Reddy*
    Department of Mathematics and Statistics, Caledonian College of Engineering, Muscat, Sultanateof Oman
  • M. Thirucheran
    Department of Mathematics , L. N. College(Autonomous), Ponneri, Tamilnadu, India

Abstract

We introduce a new subclass of spiralike biunivalent functions involving q-differential operator.We obtain the coefficient estimates and Fekete-Szegö inequalities for the functions belonging to this class. Relevant connections with various other known classes have been established.

Keywords

Starlike functions, spiralike functions, bi-univalent functions, coefficient inequalities, Fekete-Szegö, symmetric functions.

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