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<p>Estimating the coefficient functionals on various classes of holomorphic functions traditionally forms an important field of geometric complex analysis and of its mathematical and physical applications. These coefficients reflect the fundamental intrinsic features of holomorphy and of conformality. This paper surveys the results obtained by a new approach involving the deep features of Teichmüller spaces. This approach was recently suggested by the author. The paper also contains some new results generalizing the classical coefficient conjectures and presents open problems.</p>

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TOWARDS TO GENERAL DISTORTION THEORY FOR UNIVALENT FUNCTIONS: TEICHMÜLLER SPACES AND COEFFICIENT PROBLEMS OF COMPLEX ANALYSIS

  • 期刊论文

  • 发表日期：

    2026年3月24日

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  • Samuel L. Krushkal

摘要

Estimating the coefficient functionals on various classes of holomorphic functions traditionally forms an important field of geometric complex analysis and of its mathematical and physical applications. These coefficients reflect the fundamental intrinsic features of holomorphy and of conformality. This paper surveys the results obtained by a new approach involving the deep features of Teichmüller spaces. This approach was recently suggested by the author. The paper also contains some new results generalizing the classical coefficient conjectures and presents open problems.