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

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Mathematical Sciences and Applications E-Notes
Volume:9 Issue:2
$q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operat...

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

Authors : Saurabh PORWAL

Pages : 42-52

View : 27 | Download : 10

Publication Date : 2021-06-01

Article Type : Research Paper

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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