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Schwarz’s Lemma and Estimates of Coefficients in the Case of an Arbitrary Set of Boundary Fixed Points

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References

  1. L. V. Ahlfors, Conformal Invariants: Topics in Geometric Function Theory (McGraw-Hill Book Co., New York, 1973).

    MATH  Google Scholar 

  2. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable (Nauka, Moscow, 1966) [in Russian].

    MATH  Google Scholar 

  3. F. G. Avkhadiev and K.-J. Wirths, Schwarz–Pick Type Inequalities (Birkhäuser Verlag, Basel, 2009).

    Book  Google Scholar 

  4. V. V. Goryainov, Sb. Math. 208 (3), 360 (2017).

    Article  MathSciNet  Google Scholar 

  5. O. S. Kudryavtseva and A. P. Solodov, Sb. Math. 210 (7), 1019 (2019).

    Article  MathSciNet  Google Scholar 

  6. A. P. Solodov, Math. Notes 108 (4), 626 (2020).

    Article  Google Scholar 

  7. A. P. Solodov, Izv. Math. (2021) (in press).

    Google Scholar 

  8. S. G. Krantz, Complex Var. Ellip. Equ. 56 (5), 455 (2011).

    Article  Google Scholar 

  9. M. Elin, F. Jacobzon, M. Levenshtein and D. Shoikhet, in Harmonic and Complex Analysis and Its Applications (Springer, Cham, 2014), pp. 135–230.

    Google Scholar 

  10. V. N. Dubinin, Sb. Math. 196 (11), 1605 (2005).

    Article  MathSciNet  Google Scholar 

  11. S. Yu. Graf, Russian Math. (Iz. VUZ) 58 (11), 74 (2014).

    Article  MathSciNet  Google Scholar 

  12. V. G. Gordienko and D. V. Prokhorov, Math. Notes 105 (3), 342 (2019).

    Article  MathSciNet  Google Scholar 

  13. C. C. Cowen and Ch. Pommerenke, J. London Math. Soc. 26 (2), 271 (1982).

    Article  MathSciNet  Google Scholar 

  14. J. M. Anderson and A. Vasil’ev, Ann. Acad. Sci. Fenn. Math. 33 (1), 101 (2008).

    MathSciNet  Google Scholar 

  15. V. N. Dubinin, J. Math. Sci. (N. Y.) 122 (6), 3623 (2004).

    Article  MathSciNet  Google Scholar 

  16. P. Gumenyuk and D. Prokhorov, Ann. Acad. Sci. Fenn. Math. 43 (1), 451 (2018).

    Article  MathSciNet  Google Scholar 

  17. O. S. Kudryavtseva and A. P. Solodov, Sb. Math. 211 (11), 1592 (2020).

    Article  Google Scholar 

  18. O. S. Kudryavtseva, Russian Math. (Iz. VUZ) (2021) (in press).

    Google Scholar 

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Correspondence to O. S. Kudryavtseva.

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Translated from Matematicheskie Zametki, 2021, Vol. 109, pp. 636-640 https://doi.org/10.4213/mzm13044.

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Kudryavtseva, O.S. Schwarz’s Lemma and Estimates of Coefficients in the Case of an Arbitrary Set of Boundary Fixed Points. Math Notes 109, 653–657 (2021). https://doi.org/10.1134/S0001434621030378

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  • DOI: https://doi.org/10.1134/S0001434621030378

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