Teichmuller Inequalities Without Coefficient Normalization

Arthur E. Obrock
1971 Transactions of the American Mathematical Society  
Teichmüller's relation between the coefficients of extremal schlicht functions and quadratic differentials is extended. The coefficient normalization hypothesis in his theorem is dropped with the result that the new coefficient relations become more complex. This completes the partial result in this direction which is contained in Jenkins' General Coefficient Theorem. A modification of the version of the length-area method used by Teichmüller and Jenkins is introduced in our proof.
doi:10.2307/1996019 fatcat:22m4msz65nfnbczcxfog7r7so4