On Bieberbach-Eilenberg functions
HTML articles powered by AMS MathViewer
- by James A. Jenkins PDF
- Trans. Amer. Math. Soc. 76 (1954), 389-396 Request permission
References
- Ludwig Bieberbach, Über einige Extremalprobleme im Gebiete der konformen Abbildung, Math. Ann. 77 (1916), no. 2, 153–172 (German). MR 1511853, DOI 10.1007/BF01456900 S. Eilenberg, Sur quelques propriétés topologiques de la surface de sphère, Fund. Math. vol. 25 (1935) pp. 267-272.
- J. A. Jenkins, Some problems in conformal mapping, Trans. Amer. Math. Soc. 67 (1949), 327–350. MR 32748, DOI 10.1090/S0002-9947-1949-0032748-X
- James A. Jenkins, Remarks on “Some problems in conformal mapping.”, Proc. Amer. Math. Soc. 3 (1952), 147–151. MR 45828, DOI 10.1090/S0002-9939-1952-0045828-5
- James A. Jenkins, Some results related to extremal length, Contributions to the theory of Riemann surfaces, Annals of Mathematics Studies, no. 30, Princeton University Press, Princeton, N.J., 1953, pp. 87–94. MR 0056706, DOI 10.1017/s0022481200127112
- James A. Jenkins, Symmetrization results for some conformal invariants, Amer. J. Math. 75 (1953), 510–522. MR 56707, DOI 10.2307/2372500
- G. Pólya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Annals of Mathematics Studies, No. 27, Princeton University Press, Princeton, N. J., 1951. MR 0043486 W. Rogosinski, On a theorem of Bieberbach-Eilenberg, J. London Math. Soc. vol. 14 (1939) pp. 4-11. O. Teichmüller, Untersuchungen über konforme und quasikonforme Abbildung, Deutsche Mathematik vol. 3 (1938) pp. 621-678.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 76 (1954), 389-396
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9947-1954-0062831-6
- MathSciNet review: 0062831