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

Article ID

6Q4IS

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

Hamid Shamsan
Hamid Shamsan Mysore University
S. Latha
S. Latha
DOI

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 b, 0 _ b < 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.

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

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 b, 0 _ b < 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.

Hamid Shamsan
Hamid Shamsan Mysore University
S. Latha
S. Latha

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Hamid Shamsan. 2018. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F6): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 18 Issue F6
Pg. 57- 68
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GJSFR-F Classification: MSC 2010: 35E10
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On a Subclass of Certain Convex Harmonic Univalent Functions Related to Q-Derivative

Hamid Shamsan
Hamid Shamsan Mysore University
S. Latha
S. Latha

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