$q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator

Year 2021, Volume: 9 Issue: 2, 42 - 52, 01.06.2021

Saurabh Porwal

Abstract

The purpose of the present paper is to introduce a new subclass of harmonic univalent functions by using fractional calculus operator associated with $q$-calculus. Coefficient condition, extreme points, distortion bounds, convolution and convex combination are obtained for this class. Finally, we discuss a class preserving integral operator for this class.

Keywords

Harmonic functions, Fractional calculus, q-calculus

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