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Two applications of Grunsky coefficients in the theory of univalent functions Cover

Two applications of Grunsky coefficients in the theory of univalent functions

Open Access
|Dec 2023

References

  1. N. E. Cho, B. Kowalczyk, O. S. Kwon et al. On the third logarithmic coefficient in some subclasses of close-to-convex functions. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114, 52 (2020).
  2. P.L. Duren, Univalent function, Springer-Verlag, New York, 1983.
  3. M. Fekete and G. Szegö, Eine Bemerkungüber ungerade schlichte Funk-tionen, J. London Math. Soc. 8 (1933), 85–89.
  4. W. K. Hayman, On successive coefficients of univalent functions, J. London Math. Soc., 38 (1963), 228–243.
  5. A. Z. Grinspan, The sharpening of the difference of the moduli of adjacent coefficients of schlicht functions, In Some problems in modern function theory Proc. Conf. Modern Problems of Geometric Theory of Functions, Inst. Math., Acad. Sci. USSR, Novosibirsk, (Russian), Akad. Nauk SSSR Sibirsk. Otdel. Inst. Mat., Novosibirsk, (1976), 41–45.
  6. N. A. Lebedev, Area principle in the theory of univalent functions, Nauka, Moscow, 1975 (in Russian).
  7. M. Obradović, N. Tuneski, Some application of Grunsky coefficients in the theory of univalent functions, submitted. arXiv:2009.11945.
Language: English
Page range: 304 - 313
Submitted on: Jan 19, 2022
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Published on: Dec 26, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2023 Milutin Obradović, Nikola Tuneski, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.