Neighborhoods of certain classes of analytic functions with negative coefficients.

Aouf, M.K.

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Some properties of certain subclasses of analytic functions with negative coefficients by using generalized Ruscheweyh derivative operator

Erhan Deniz, Halit Orhan (2010)

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By making use of the known concept of neighborhoods of analytic functions we prove several inclusions associated with the $(j, δ)$ -neighborhoods of various subclasses of starlike and convex functions of complex order $b$ which are defined by the generalized Ruscheweyh derivative operator. Further, partial sums and integral means inequalities for these function classes are studied. Relevant connections with some other recent investigations are also pointed out.