ON A CERTAIN SUBCLASS OF HARMONIC UNIVALENT FUNCTIONS DEFINED Q-DIFFERENTIAL OPERATOR

admin December 28, 2019

Authors:

B. RAVINDAR,R. B. SHARMA,N. MAGESH,

DOI NO:

https://doi.org/10.26782/jmcms.2019.12.00004

Keywords:

q-differential operator,Harmonic function,Salagean operator,univalent function,

Abstract

The concepts of q-analysis has numerous applications in different subfields of science such as optimal control, ordinary fractional calculus, geometric function theory, qintegral and q-difference equations. In this paper we define certain subclasses of harmonic univalent functions in the open unit disk U  {zC : | z |  1} by utilizingqdifferential operator and obtain coefficient bounds and extreme points for the functions in this class.

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