On a Subclass of Certain Convex Harmonic Univalent Functions Related to Q-Derivative

Hamid Shamsan

Authors

Hamid Shamsan

harmonic functions, q-derivative, convex functions, convolution, sense-preserving, univalent

Abstract

We define and investigate a new class of harmonic functions defined by q -derivative. We give univalence criteria and sufficient coefficient conditions for normalized q -harmonic functions that are convex of order 1. We obtain coefficient inequalities, extreme points distortion bounds, convolution and convex combination condition, and covering theorems for these functions. Further, we obtain the closure property of this class under integral operator.

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How to Cite

On a Subclass of Certain Convex Harmonic Univalent Functions Related to Q-Derivative. (2018). Global Journal of Science Frontier Research, 18(F6), 57-68. https://journalofscience.org/index.php/GJSFR/article/view/2320

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