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A unified class of analytic functions with negative coefficients
Published in Pleiades Publishing Ltd
2008
Volume: 29
   
Issue: 3
Pages: 175 - 185
Abstract
Making use of the convolution product, we introduce a unified class of analytic functions with negative coefficients. Also, we obtain the coefficient bounds, extreme points, and radius of starlikeness for functions belonging to the generalized class P g T (λ, α, β). Furthermore, partial sums f k (z) of functions f(z) in the class P g (λ, α, β) are considered and sharp lower bounds for the ratios of the real parts of f(z) to f k (z) and f′(z) to f′k (z) are determined. Relevant connections of the results with various known results are also considered. © 2008 MAIK Nauka.
About the journal
JournalLobachevskii Journal of Mathematics
PublisherPleiades Publishing Ltd
ISSN1995-0802
Open AccessNo