In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant for functions belonging to the class .
In this paper we introduce and investigate three new subclasses of -valent analytic functions by using the linear operator . The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for -neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation.
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