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Estimates for coefficients of univalent functions from integral means and Grunsky inequalities

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Abstract

Sharp bounds are obtained for the coefficients of inverses of univalent functions in the class Σ(p) by using results on integral means and generalized Grunsky inequalities. A new and elementary proof is given for a result due to Löwner about sharp bounds for coefficients of inverses of functions in the classS.

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Authors and Affiliations

  1. Department of Mathematics, UCLA, 90024, Los Angeles, CA, USA

    Shanshuang Yang

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  1. Shanshuang Yang
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Yang, S. Estimates for coefficients of univalent functions from integral means and Grunsky inequalities. Israel J. Math. 87, 129–142 (1994). https://doi.org/10.1007/BF02772989

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  • DOI: https://doi.org/10.1007/BF02772989

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