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Sharp Estimates for the Coefficients of the Inverse Functions of the Nevanlinna Univalent Functions of the Classes N1 and N2

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Abstract

In the paper the extremum of a typical functional in the class N2 is found. In particular, it is shown its application for determination of the extremums of the coefficients of the inverse functions of the Nevanlinna univalent functions of the class N2. A conjecture for these coefficients is stated.

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bontchev Str., Block 8, 1113, Sofia, Bulgaria

    P. G. Todorov

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  1. P. G. Todorov
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Todorov, P.G. Sharp Estimates for the Coefficients of the Inverse Functions of the Nevanlinna Univalent Functions of the Classes N1 and N2 . Abh.Math.Semin.Univ.Hambg. 68, 91–102 (1998). https://doi.org/10.1007/BF02942553

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  • DOI: https://doi.org/10.1007/BF02942553

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