Coefficients of Meromorphic Schlicht Functions
- 1 April 1971
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 28 (1) , 169-172
- https://doi.org/10.2307/2037776
Abstract
This paper presents an elementary proof of a known theorem on the coefficients of meromorphic schlicht functions: if <!-- MATH $f \in \Sigma$ --> and for <!-- MATH $1 \leqq k < n/2$ --> <img width="112" height="41" align="MIDDLE" border="0" src="images/img4.gif" alt="$ 1 \leqq k < n/2$">, then <!-- MATH $|{b_n}| \leqq 2/(n + 1)$ --> .
Keywords
This publication has 3 references indexed in Scilit:
- Coefficient Estimates for Univalent FunctionsProceedings of the American Mathematical Society, 1962
- On Certain Coefficients of Univalent Functions. IITransactions of the American Mathematical Society, 1960
- A Coefficient Inequality for Schlicht FunctionsAnnals of Mathematics, 1955