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Neighbourhoods of certain p-valently analytic functions defined by using Salagean operator

Aouf M.

Demonstratio Mathematica

2008

Vol. 41, nr 3

561-570

By making use of the familiar concept of neighbourhood of analytic and p-valent functions, the author prove coefficient bounds and distortion inequalities and associated inclusion relations for the (j, [...)-neighbourhoods of a family of p-valent functions with negative coefficients and defined by using Salagean operator which is defined by means of a certain non-homogenous Cauchy-Euler differential equation.