Neighborhoods of a Certain Family of Multivalent Functions Defined by Using a Fractional Derivative Operator
Aouf, M. K.
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 31-40 / Harvested from Project Euclid
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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.
Publié le : 2009-02-15
Classification:  Multivalent analytic functions,  fractional derivative operator,  complex order,  neighborhood,  30C45 
@article{1235574189,
     author = {Aouf, M. K.},
     title = {Neighborhoods of a Certain Family of Multivalent Functions Defined
by Using a Fractional Derivative Operator},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 31-40},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1235574189}
}

Aouf, M. K. Neighborhoods of a Certain Family of Multivalent Functions Defined
by Using a Fractional Derivative Operator. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  31-40. http://gdmltest.u-ga.fr/item/1235574189/