Neighborhoods of certain p-valently analytic functions with negative coefficients

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摘要

In this investigation, by making use of the familiar concept of neighborhoods of p-valently analytic functions, the authors prove coefficient bounds, distortion inequalities, associated inclusion relations for the (n, δ)-neighborhoods of a family of p-valently analytic functions and its certain derivatives, which is defined by means of a certain non-homogenous differential equation.

论文关键词:p-Valently analytic function,Differential operator,Coefficient bounds,Distortion inequalities,(n, δ)-Neighborhood,Non-homogeneous differential equation,p-Valently starlikeness,p-Valently convexity

论文评审过程:Available online 11 October 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.08.101