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2005 / March Volume 32 No.1
Some multivalent starlikeness conditions for analytic functions
Published Date
2005 / March
Title
Some multivalent starlikeness conditions for analytic functions
Author
Dinggong Yang
Keyword
Analytic, $p$-valently starlike, subordination, convolution
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Pagination
55-67
Abstract
Let $A_p(n) (p, n \in N)$ be the class of functions $f(z) = z^p + a_{p+n}z^{p+n} + \ldots $ which are analytic in the unit disk. By using the method of differential subordination, we investigate the multivalent starlikeness of certain analytic functions in $A_p(n)$ and their convolutions. Several interesting consequences are also given.
AMS Subject
Classification
30C45
Received
2003-04-21
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