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Some applications of the transfinite diameter to the theory of functions

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Bibliography

  1. L. Bieberbach,Ueber die Koefficienten derjenigen Potenzeiben, welche eine schlichte Abbildung des Einbeitskreises vermitteln, Berliner Berichte (1916) pp. 940–955.

  2. M. Biernacki,Sur les fonctions en moyenne multivalentes, Bull. Sci. Math. sér. 2, Vol. 70 (1940), pp. 51–76.

    MathSciNet  Google Scholar 

  3. H. Bohr,Ueber einen Satz von Edmund Landau, Scripta Univ. Hierosolimitanarum 1, nr. 2, 5 pp. (1923).

  4. M. L. Cartwright,Inequalities in the Theory of Functions, Math. Ann. Vol. 111 (1935) pp. 98–114.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. Fekete,Ueber die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koefficienten, Math. Zeitschrift, Vol. 17, (1923), pp. 228–249.

    Article  MathSciNet  Google Scholar 

  6. W. K. Hayman,Remarks on Ahlfors’ distortion Theorem, Quart. Jour. Math. Oxford Ser. 19, (1948), pp. 33–53.

    Article  MathSciNet  Google Scholar 

  7. W. K. Hayman,Symmetrisation in the Theory of Functions, Technical report nr. 11, Contract N6-ORI-106, Task order 5 (NR-043-992) O.N.R. Washington.

  8. P. Koebe,Ueber die Uniformisierung der algebraishen Kurven, II, Math. Ann. Vol. 69, (1910), pp. 1–81.

    Article  MathSciNet  MATH  Google Scholar 

  9. A. Kobori,An evaluation in the Theory of multivalent functions, Jap. Jour. Math. 19, (1948) pp. 275–285.

    MathSciNet  Google Scholar 

  10. E. Landau,Zum Koebeschen Verzerrungssatz, Palermo Rend. Vol. 46 (1922) pp. 347–348.

    Article  MATH  Google Scholar 

  11. J. E. Littlewood,Lectures on the Theory of Functions, Oxford (1944).

  12. P. J. Myrberg,Ueber die Existenz der Greenschen Funktion auf einer gegebenen Riemannschen Flaeche, Acta Mathematica, Vol. 61, (1933).

  13. R. Nevanlinna,Eindeutige Analytische Funktionen, Berlin (1936).

  14. G. Pólya,Sur la symmetrisation circulaire, Comptes-rendus de l’Acad. Sci. Vol. 230 (1950), pp. 25–27.

    MATH  Google Scholar 

  15. D.C. Spencer,On finitely mean-valent functions II, Trans. Amer. Math. Soc. Vol. 48 (1940), pp. 418–435.

    Article  MATH  MathSciNet  Google Scholar 

  16. D. C. Spencer,On mean one-valent functions, Annals of Math. Vol. 42 (1941), pp. 614–633.

    Article  Google Scholar 

  17. G. Szegö,Bemerkungen zu einer Arbeit vor Herrn Fekete, Math. Zeitschrift, Vol. 21 (1924), 203–208.

    Article  Google Scholar 

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  1. Exeter, England

    W. K. Hayman

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  1. W. K. Hayman
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Hayman, W.K. Some applications of the transfinite diameter to the theory of functions. J. Anal. Math. 1, 155–179 (1951). https://doi.org/10.1007/BF02790087

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