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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, δ) -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. Mathematics subject classification (2000): 30C45.

Neighborhoods of a certain class of p-valent functions with negative coefficients defined by using a differential operator