2007 / March Volume 2 No.1
A class of analytic functions defined by the Carlson-Shaffer operator
| Published Date |
2007 / March
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|---|---|
| Title | A class of analytic functions defined by the Carlson-Shaffer operator |
| Author | |
| Keyword | |
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| Pagination | 91-102 |
| Abstract | The Carlson-Shaffer operator
$L(a, c)f = \phi(a, c) \ast f$, where
$f(z) = z +a_2z^2 + \dots $ is analytic in the unit disk $E =$ {$z: |z| < 1$} and $\phi(a, c; z)$ is an incomplete beta function, is used to define the class $T(a, c)$. An analytic function $f$ belongs to $T(a, c)$ if $L(a, c)f$ is starlike in $E$. The object of the present paper is to derive some properties of functions $f$ in the class $T(a, c)$.
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| AMS Subject Classification |
30C45
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| Received |
2006-01-26
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