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

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

Hamid Shamsan

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S. Latha

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University of Mysore

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

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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.

References

9 Cites in Article

Reference Format

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J Jahangiri (1998). Coefficient bounds and univalence criteria for harmonic functions with negative coefficients.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Hamid Shamsan. 2018. \u201cOn a Subclass of Certain Convex Harmonic Univalent Functions Related to Q-Derivative\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F6): .

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GJSFR Volume 18 Issue F6
Pg. 57- 68

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 35E10

Submission ReceivedJuly 7, 2018
Peer Review Double Blind
Handling Editor
Accepted July 18, 2018
Published August 1, 2018

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v1.2

Issue date

August 10, 2018

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Article Matrices

Total Score: 102

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Hamid Shamsan, S. Latha (PhD/Dr. count: 0)

View Count (all-time): 177

Total Views (Real + Logic): 3016

Total Downloads (simulated): 1531

Publish Date: 2018 08, Fri

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Total Views: 3016

Total Downloads: 1531

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