On Certain Subclass of Analytic Functions involving Generalized Derivative Operator

T. Thulasiram; T.V. Sudharsan; K. Suchithra; mkaouf127

Authors

T. Thulasiram
T.V. Sudharsan
K. Suchithra
mkaouf127

analytic function, starlike function, generalized derivative operator, coefficient inequalities, extreme points

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.

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How to Cite

On Certain Subclass of Analytic Functions involving Generalized Derivative Operator. (2014). Global Journal of Science Frontier Research, 14(31), 61-73. https://journalofscience.org/index.php/GJSFR/article/view/

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References

M. Al-Abbadi, M. Darus (2009) Differential subordination for new generalized derivative operator. 20, 265-280.

M. Al-Abbadi, M. Darus (2010) On Subclass of Analytic Univalent Functions Associated with Negative Coefficients. 343580.

O. Altintas, S. Owa (1998) On subclasses of univalent functions with negative coefficients. 4, 41-56.

M. Aouf, H. Hossen, A. Lashin On certain families of analytic functions with negative coefficients.

M. Aouf, A.A.Shamandy, A.O.Mostafa, A.K.Wagdy, Certain starlike, Math. Bech (2012) Properties of Certain Class of Uniformly Starlike and Convex Functions Defined by Convolution.

S. Chatterjea (1981) On starlike functions. 1, 23-26.

A. Mostafa (2009) A study on starlike and convex properties for hypergeometric functions. (3), 8.

T. Sekine, Internat. Sci (1987) Generalization of certain subclasses of analytic functions. 10(4), 725-732.

T. Sekine, Math. Japonica (1991) On generalized of analytic functions with negative coefficients. 36(1), 13-19.

H. Silverman, Univalent coefficients, Proc. Soc (1975) Univalent functions with negative coefficients. 51, 109-116.

S. Sivasubramanian, Thomas Rosy, K. Muthunagai (2011) Certain sufficient conditions for a subclass of analytic functions involving Hohlov operator. 62, 4479-4485.