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
MILESTONES
Received: 2008-10-21
Revised : 2009-04-07
Accepted: 2009-04-07
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