Abstract

In this paper, the authors prove several coefficient bounds, distortion inequalities of the class S g n ( p , λ , b , β ) of p-valent analytic functions of complex order. By making use of the familiar concept of neighborhoods of p-valent analytic functions, they obtained several inclusion relations associated with the N p ( n , δ ) -neighborhood of this class and its certain derivatives, which is defined by means of a certain non-homogeneous Cauchy–Euler differential equations.

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