HADAMARD PRODUCT AND A SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS

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Published: 2016-06-30

Page: 6-15


RAMESHA CHENDADY

Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal 576104, Karnataka, India.

MOHANDAS TALAPADY *

Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal 576104, Karnataka, India.

*Author to whom correspondence should be addressed.


Abstract

In the present paper, authors introduce a new subclass TR(λ, γ) of the class of analytic functions with negative coefficients, defined by convolution and obtain coefficient estimates, growth and distortion theorems, closure properties, radii of close-to-convexity, starlikeness and radius of convexity of functions belonging to this class. Furthermore, the effect of Bernardi operator on functions of TRg (λ, γ) is determined.

Keywords: Analytic function, hadamard product, distortion theorems, convex, close to convex, starlike function, univalent function


How to Cite

CHENDADY, R., & TALAPADY, M. (2016). HADAMARD PRODUCT AND A SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS. Asian Journal of Mathematics and Computer Research, 13(1), 6–15. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/678

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