Neighborhoods for certain subclasses of multivalently analytic functions defined by using a differential operator
In the present investigation, by making use of the familiar concept of neighborhoods of analytic and multivalent functions, we derive coefficient bounds and distortion inequalities, associated inclusion relations for the (n,?) ( n , ? ) -neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a certain nonhomogenous differential equation. Several special cases of the main results are mentioned.
multivalently analytic functions differential operator coefficient bounds distortion inequalities (n ?) ( n ?) ( n ?) ( n ?) ( n ?) ( n ? ) ? ) -neighborhood (n ? ) (n ? ) ( n non-homegenous differential equation multivalently starlikeness of complex order multivalently convexity of complex order