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On Bieberbach-Eilenberg functions. III


Author: James A. Jenkins
Journal: Trans. Amer. Math. Soc. 119 (1965), 195-215
MSC: Primary 30.42
DOI: https://doi.org/10.1090/S0002-9947-1965-0181742-6
MathSciNet review: 0181742
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  • [1] I. E. Alenitsyn, A contribution to the theory of schlicht functions and Bieberbach-Eilenberg functions, Dokl. Akad. Nauk SSSR. 109 (1956), 247-249. (Russian) MR 0080744 (18:293a)
  • [2] S. A. Gelfer, On the class of regular functions not taking on any pair of values $ w$ and $ - w$, Mat. Sb. (N.S.) 19 (1946), 33-44. (Russian. English summary)
  • [3] A. W. Goodman, Almost bounded functions, Trans. Amer. Math. Soc. 78 (1955), 82-97. MR 0067191 (16:685a)
  • [4] J. Hersch and A. Pfluger, Principe de l'augmentation des longueurs extrémales, C. R. Acad. Sci. Paris 237 (1953), 1205-1207. MR 0057972 (15:301c)
  • [5] James A. Jenkins, Some results related to extermal length, Contributions to the Theory of Riemann Surfaces, Annals of Mathematics Studies No. 30, pp. 87-94, Princeton Univ. Press, Princeton, N. J., 1953. MR 0056706 (15:115e)
  • [6] -, On Bieberbach-Eilenberg functions, Trans. Amer. Math. Soc. 76 (1954), 389-396. MR 0062831 (16:24e)
  • [7] -, On Bieberbach-Eilenberg functions. II, Trans. Amer. Math. Soc. 78 (1955), 510-515. MR 0067186 (16:684a)
  • [8] -, Some uniqueness results in the theory of symmetrization, Ann. of Math. (2) 61 (1955), 106-115. MR 0065640 (16:460a)
  • [9] -, Univalent functions and conformal mapping, Springer-Verlag, Berlin, 1958. MR 0096806 (20:3288)
  • [10] -, Some area theorems and a special coefficient theorem, Illinois J. Math. 8 (1964), 80-99. MR 0160888 (28:4097)
  • [11] N. A. Lebedev and I. M. Milin, On the coefficients of some classes of analytic functions, Mat. Sb. (N.S.) 28 (1951), 359-400. (Russian) MR 0045816 (13:640a)
  • [12] N. A. Lebedev, Applications of the area principle in problems for non-overlapping domains, Trudy Mat. Inst. Steklov. 60 (1961), 211-231. (Russian) MR 0131534 (24:A1384)
  • [13] Tao-Shing Shah, On the moduli of some classes of analytic functions, Acta Math. Sinica 5 (1955), 439-454. (Chinese. English summary) MR 0075298 (17:724d)

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DOI: https://doi.org/10.1090/S0002-9947-1965-0181742-6
Article copyright: © Copyright 1965 American Mathematical Society

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