ON THE SCHWARZIAN COEFFICIENTS OF THE KOEBE TRANSFORM OF A UNIVALENT FUNCTION

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Published: Mar 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4476
Keywords:
Schwarzian coefficients Koebe transform

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STEPHEN M. ZEMYAN
Department of Mathematics, The Pennsylvania State University, Mont Alto Campus, Mont Alto, Pennsylvania 17237-9799, U. S. A.

Abstract




For $f \in S$, we compute the Schwarzian coefficients of the Koebe Transform $f_{\phi_\alpha}$ of $f$ in terms of successive derivatives of the Schwarzian derivative, then provide some estimates on certain combinations of them.




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How to Cite
ZEMYAN, S. M. (1993). ON THE SCHWARZIAN COEFFICIENTS OF THE KOEBE TRANSFORM OF A UNIVALENT FUNCTION. Tamkang Journal of Mathematics, 24(1), 67–72. https://doi.org/10.5556/j.tkjm.24.1993.4476
Issue
Vol. 24 No. 1 (1993)
Section
Papers
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