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Asymptotic behavior of coefficients of univalent functions

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Advances in Complex Function Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 505))

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References

  1. I.E. Bazilevich, On the dispersion of the coefficients of univalent functions, Mat. Sb. 68 (1965), 549–560 (in Russian).

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  2. I.E. Bazilevich, On a univalence criterion for regular functions and the dispersion of their coefficients, Mat. Sb. 74 (1967), 133–146 (in Russian).

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  3. P.L. Duren, Estimation of coefficients of univalent functions by a Tauberian remainder theorem, J. London Math. Soc. 8 (1974), 279–282.

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  4. W.K. Hayman, The asymptotic behaviour of p-valent functions, Proc. London Math. Soc. 5 (1955), 257–284.

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  5. W.K. Hayman, Multivalent Functions, Cambridge University Press, 1958.

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  6. J. Korevaar, Another numerical Tauberian theorem for power series, Nederl. Akad. Wetensch. Proc. Ser. A. 57—Indagationes Math. 16 (1954), 46–56.

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  7. E. Landau, Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie Zweite Auflage, J. Springer, Berlin, 1929.

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  8. I.M. Milin, Hayman’s regularity theorem for the coefficients of univalent functions, Dokl. Akad. Nauk. SSSR 192 (1970), 738–741 (in Russian).

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  9. I.M. Milin, Univalent Functions and Orthonormal Systems, Izdat. “Nauka”, Moscow, 1971 (in Russian).

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Authors and Affiliations

  1. University of Michigan, Ann Arbor, Michigan

    Peter L. Duren

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  1. Peter L. Duren
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William E. Kirwan Lawrence Zalcman

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© 1976 Springer-Verlag

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Duren, P.L. (1976). Asymptotic behavior of coefficients of univalent functions. In: Kirwan, W.E., Zalcman, L. (eds) Advances in Complex Function Theory. Lecture Notes in Mathematics, vol 505. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081097

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  • DOI: https://doi.org/10.1007/BFb0081097

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07548-6

  • Online ISBN: 978-3-540-38088-7

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