NEIGHBORHOODS OF A CERTAIN CLASS OF p-VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY USING A DIFFERENTIAL OPERATOR

In this present paper, by making use of the familiar concept of neighborhoods of p-valent functions, the author prove coefficient bounds and distortion inequalities, and associated inclusion relations for the (n, delta) -neighborhoods of a class of p-valently analytic functions with negative coefficients, which is defined by means of a certain non-homogeneous Cauchy-Euler differential equation. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.