Original scientific paper
Certain classes of multivalent functions with negative coefficients associated with a convolution structure
Gangadharan Murugusundaramoorthy
; School of Advanced Sciences, VIT University, Vellore, India
Santosh Bose Joshi
; Department of Mathematics, Walchand College of Engineering, Sangli, India
Abstract
Making use of a convolution structure, we introduce a new class of
analytic functions $\mathbb{T}^{p}_{g}(\lambda,\alpha, \beta, )$
defined in the open unit disc and investigate its various
characteristics. Further we obtained distortion bounds, extreme
points and radii of close-to-convexity, starlikeness and convexity
for functions belonging to the class
$\mathbb{T}^{p}_{g}(\lambda,\alpha, \beta).$
Keywords
Analytic; starlikeness; convexity; Hadamard product (convolution)
Hrčak ID:
61805
URI
Publication date:
8.12.2010.
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