Abstract
Making use of a fractional derivative operator, we introduce and investigate two new classes $K_{j}(p,\lambda ,b,\beta )$ and $L_{j}(p,\lambda ,b,\beta ,\mu )$ of multivalently analytic functions of complex order. In this paper we obtain the coefficient estimates and inclusion relationships involving the $(j,\delta )-$ neighborhood of various subclasses of multivalently analytic functions of complex order.
Citation
M. K. Aouf. "Neighborhoods of a Certain Family of Multivalent Functions Defined by Using a Fractional Derivative Operator." Bull. Belg. Math. Soc. Simon Stevin 16 (1) 31 - 40, February 2009. https://doi.org/10.36045/bbms/1235574189
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