Abstract
Two methods to construct inequalities are compared and investigated for their potential to characterize initial segments of coefficients. One is based on special function theory as in the proof of the Bieberbach conjecture and its power generalizations. While this method produces the best coefficient estimates to date, it is shown by an example that the method cannot, in its present form, characterize initial segments of coefficients.
1 The authors were supported by a grant from the National Science Foundation.
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To Tsuyoshi Ando, with best wishes on the occasion of his 60-th birthday.
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© 1993 Springer Basel AG
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Li, K.Y., Rovnyak, J. (1993). On the Coefficients of Riemann Mappings of the Unit Disk into Itself. In: Furuta, T., Gohberg, I., Nakazi, T. (eds) Contributions to Operator Theory and its Applications. Operator Theory: Advances and Applications, vol 62. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8581-2_9
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DOI: https://doi.org/10.1007/978-3-0348-8581-2_9
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