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2010 / June Volume 5 No.2
On certain subclasses of multivalent functions with negative coefficients defined by using a differential operator
Published Date
2010 / June
Title
On certain subclasses of multivalent functions with negative coefficients defined by using a differential operator
Author
M. K. Aouf
Keyword
Multivalent functions, differential operator, modified-Hadamard product, fractional colculus, Multivalent functions, differential operator, modified-Hadamard product, fractional calculus
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Pagination
181-200
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.
AMS Subject
Classification
30C45
Received
2009-04-07
Accepted
2009-04-07
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