On Certain Subclass of Analytic Functions Involving Generalized Derivative Operator

T. Thulasiram; K. Suchithra; T.V. Sudharsan

On Certain Subclass of Analytic Functions Involving Generalized Derivative Operator

T. Thulasiram * §

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K. Suchithra

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T.V. Sudharsan

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mkaouf127

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§ A.M.Jain College, Chennai, Tamilnadu, India

On Certain Subclass of Analytic Functions Involving Generalized Derivative Operator

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Abstract

In this paper, a new subclass of analytic functions is introduced by means of a generalized derivative operator. Several properties like coefficient inequalities, growth and distortion theorems, convex linear combinations and radii of close-to-convexity, starlikeness and convexity of analytic functions belonging to the subclass are investigated.

References

11 Cites in Article

Reference Format

M Al-Abbadi,M Darus (2009). Differential subordination for new generalized derivative operator.
M Al-Abbadi,M Darus (2010). On subclass of analytic univalent functions associated with negative coefficients.
O Altintas,S Owa (1998). On subclasses of univalent functions with negative coefficients.
M Aouf,H Hossen,A Lashin (2000). On certain families of analytic functions with negative coefficients.
M Aouf,A Mostafa,A Hussain (2012). Properties of Certain Class of Uniformly Starlike and Convex Functions Defined by Convolution.
S Chatterjea (1981). On starlike functions.
A Mostafa (2009). A study on starlike and convex properties for hypergeometric functions.
Tadayuki Sekine (1987). Generalization of certain subclasses of analytic functions.
T Sekine (1991). On generalized of analytic functions with negative coefficients.
Herb Silverman (1975). Univalent functions with negative coefficients.
S Sivasubramanian,Thomas Rosy,K Muthunagai (2011). Certain sufficient conditions for a subclass of analytic functions involving Hohlov operator.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

T. Thulasiram, K. Suchithra, T.V. Sudharsan, mkaouf127. 2014. "On Certain Subclass of Analytic Functions Involving Generalized Derivative Operator". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F5).

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GJSFR Volume 14 Issue F5

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Analytic function coefficient inequalities extreme points generalized derivative operator starlike function

Classification

GJSFR-F Classification MSC 2010: 11E45

Submission ReceivedAugust 10, 2014
Peer Review Double Blind
Handling Editor
Accepted September 8, 2014
Published September 21, 2014

Version of record

v1.2

Issue date

October 7, 2014

Language

English

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Article Matrices

Total Score: 148

Country: India

Subject: Global Journal of Science Frontier Research

Authors: T. Thulasiram, T.V. Sudharsan, K. Suchithra, M.K.Aouf (PhD/Dr. count: 0)

View Count (all-time): 287

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Publish Date: 2014 09, Sun

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Total Downloads: 97

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