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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The boundary of a simply connected domain
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by George Piranian PDF
Bull. Amer. Math. Soc. 64 (1958), 45-55
References
  • T. van Aardenne-Ehrenfest and Julius Wolff, Über die Grenzen der einfachzusammenhängenden Gebiete, Comment. Math. Helv. 16 (1944), 321–323 (German). MR 11326, DOI 10.1007/BF02568584
  • C. Carathéodory, Über die Begrenzung einfach zusammenhängender Gebiete, Math. Ann. 73 (1913), no. 3, 323–370 (German). MR 1511737, DOI 10.1007/BF01456699
  • Edward F. Collingwood, Sur le comportement à la frontière, d’une fonction méromorphe dans le cercle unité, C. R. Acad. Sci. Paris 240 (1955), 1502–1504 (French). MR 68631
  • E. F. Collingwood, A theorem on prime ends, J. London Math. Soc. 31 (1956), 344–349. MR 80158, DOI 10.1112/jlms/s1-31.3.344
  • P. Fatou, Séries trigonométriques et séries de Taylor, Acta Math. 30 (1906), no. 1, 335–400 (French). MR 1555035, DOI 10.1007/BF02418579
  • H. Freudenthal, Enden und Primenden, Fund. Math. 39 (1952), 189–210 (1953) (German). MR 54243, DOI 10.4064/fm-39-1-189-210
  • Wilhelm Groß, Zum Verhalten analytischer Funktionen in der Umgebung singulärer Stellen, Math. Z. 2 (1918), no. 3-4, 242–294 (German). MR 1544318, DOI 10.1007/BF01199411
    • 8. F. Hausdorff, Mengenlehre, 3d ed., Berlin-Leipzig, 1935.
  • Boris Kaufmann, Über die Berandung ebener und räumlicher Gebiete (Primendentheorie), Math. Ann. 103 (1930), no. 1, 70–144 (German). MR 1512618, DOI 10.1007/BF01455691
    • 10. P. Koebe, Abhandlungen zur Theorie der konformen Abbildung, J. Reine Angew. Math. vol. 145 (1915) pp. 177-223. 11. E. Lindelöf, Sur un principe général de l’analyse et ses applications à la représentation conforme, Acta Societatis Scientiarum Fennicae. Nova Series A. vol. 46 (1920), no. 4 (1915).
  • A. J. Lohwater and G. Piranian, The boundary behavior of functions analytic in a disk, Ann. Acad. Sci. Fenn. Ser. A. I. 1957 (1957), no. 239, 17. MR 91342
    • 13. S. Mazurkiewicz, Über die Definition der Primenden, Fund. Math. vol. 26 (1936) pp. 272-279. 14. P. Montel, Sur la représentation conforme, J. Math. Pures Appl. (7) vol. 3 (1917) pp. 1-54.
  • G. D. Suvorov, Prime ends of a sequence of plane regions converging to a nucleus, Mat. Sbornik N.S. 33(75) (1953), 73–100 (Russian). MR 0057536
  • H. D. Ursell and L. C. Young, Remarks on the theory of prime ends, Mem. Amer. Math. Soc. 3 (1951), 29. MR 42110
    • 17. P. Urysohn, Über ein Problem von Herrn C. Carathéodory, Fund. Math. vol. 6 (1924) pp. 229-235. 18. V. Weniaminoff, Sur un problème de la représentation conforme de M. Carathéodory, Recueil Math. Soc. Math. Moscou vol. 31 (1922) pp. 91-93; Jahrb. Fortsch. Math. vol. 48 (1921-1922) p. 405.
Additional Information
  • Journal: Bull. Amer. Math. Soc. 64 (1958), 45-55
  • DOI: https://doi.org/10.1090/S0002-9904-1958-10157-3
  • MathSciNet review: 0100090