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—In this paper, a generalized derivatives operator n λ,β f introduced by the authors will be discussed. Some subordination and superordination results involving this operator for certain normalized analytic functions in the open unit disk will be investigated. Our results extend corresponding previously known results.
Recommended by Brigitte Forster-Heinlein For λ > −1 and μ ≥ 0, we consider a liner operator I μ λ on the class A of analytic functions in the unit disk defined by the convolution f μ −1 * fz, where f μ 1 − μz 2 F 1 a, b, c; z μzz 2 F 1 a, b, c; z , and introduce a certain new subclass of A using this operator. Several interesting properties of these classes… (More)