Properties of a Subclass of Harmonic Univalent Functions Using the Al-Oboudi $q-$Differential Operator

Abstract

In this paper, we introduce the Al-Oboudi $q-$differential operator, a generalized S\u{a}l\u{a}gean operator, for harmonic functions and define a new subclass of harmonic univalent functions using this operator. We investigate several fundamental properties of this subclass, including coefficient conditions, extreme points, distortion bounds, convex combination, and radii of convexity.

Keywords

• Modified generalized Sălăgean operator
• Al-Oboudi $q-$differential operator
• Convolution
• $q-$Harmonic univalent functions
• Subordination

References

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