Abstract
By making use of a fractional differintegral operator Ωλ z(−∞<λ<1), which unifies the concepts of fractional derivative and fractional integral, we introduce and study a nested class Tλ(α) (0≤α<1) of analytic functions with negative coefficients. Various growth and distortion theorems, and some general results pertaining to the Strohäcker-Marx problem, are obtained for the class Tλ(α).
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