PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)Vol. 46(60), pp. 71--78 (1989)
|
|
PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 46(60), pp. 71--78 (1989) |
|
|
On the logarithmic derivative of some Bazilevic functionsS. Abdul Halim, R. R. London and D. K. ThomasDepartment of Mathematics and Computer Science, University College of Swansea, Swansea SA2 8PP, Wales, Great BritainAbstract: For $\a>0$, $0\le\b<1$, let $B_0(\alpha,\beta)$ be the class of normalised analytic functions $f$ defined in the open unit disc $D$ such that $$ \operatorname{Re}e^{i\psi}(f'(z)(f(z)/z)^{\alpha-1}-\beta)>0 $$ for $z\in D$ and for some $\psi=\psi(f)\in R$. Upper and lower bounds for the logarithmic derivative $zf'/f$ for $f\in B_0(\alpha,\beta)$ are obtained. Classification (MSC2000): 30C45 Full text of the article:
Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
|