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On certain subclasses of multivalent functions with negative coefficients defined by using a differential operator
by M. K. Aouf

Vol. 5 No. 2 (2010) P.181~P.200

ABSTRACT

Making use of a differential operator the author investigate the various impartant properties and characteristics of the subclass $T_j(n,m, p, q, \alpha )$ $(p, j,m \ \in \ N \ = \{1, 2, . . .\}, q, n \ \in \ N_0 \ = N \cup \{0\}, \ 0 \ \le \alpha \ < p - q)$ of p-valently analytic functions with negative coefficients. Finally, several applications involving an integral operator and certain fractional calculus operators are also considered.

KEYWORDS
Multivalent functions, differential operator, modified-Hadamard product, fractional calculus

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 30C45

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