On certain multivalent functions with negative coefficients defined by using a differential operator
Using the methods of differential subordination and superordination, sufficient conditions are determined on the differential linear operator of meromorphic functions in the punctured unit disk to obtain, respectively, the best dominant and the best subordinant. New sandwich-type results are also obtained.
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.
Let denote the class of analytic functions with the normalization in the open unit disc . Set and define in terms of the Hadamard product In this paper, we introduce several subclasses of analytic functions defined by means of the operator , given by Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.
We introduce two classes of analytic functions related to conic domains, using a new linear multiplier Dziok-Srivastava operator , ; , , , Basic properties of these classes are studied, such as coefficient bounds. Various known or new special cases of our results are also pointed out. For these new function classes, we establish subordination theorems and also deduce some corollaries of these results.
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