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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the growth of meromorphic functions with several deficient values.
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by Albert Edrei and Wolfgang H. J. Fuchs PDF
Trans. Amer. Math. Soc. 93 (1959), 292-328 Request permission
References
  • Albert Edrei and Wolfgang H. J. Fuchs, Valeurs déficientes et valeurs asymptotiques des fonctions méromorphes, Comment. Math. Helv. 33 (1959), 258–295 (French). MR 123716, DOI 10.1007/BF02565920
  • Albert Edrei and Wolfgang H. J. Fuchs, The deficiencies of meromorphic functions of order less than one, Duke Math. J. 27 (1960), 233–249. MR 123717
  • A. A. Gol′dberg, On defects of meromorphic functions, Dokl. Akad. Nauk SSSR (N.S.) 98 (1954), 893–895 (Russian). MR 0071543
  • F. Nevanlinna, Ueber eine Klasse meromorpher Funktionen, 7 ème Congr. Math. Scand. Oslo, vol. 7, 1930, pp. 81-83. R. Nevanlinna, Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Paris, 1930. E. C. Titchmarsh, The theory of functions, 2d ed., Oxford, 1950. E. Ullrich, Ueber den Einfluss der Verzweigtheit einer Algebroide auf ihre Wertverteilung, J. Reine Angew. Math. vol. 167 (1932) pp. 198-220.
  • G. Valiron, Sur les fonctions entières d’ordre nul et d’ordre fini et en particulier les fonctions à correspondance régulière, Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. (3) 5 (1913), 117–257 (French). MR 1508338, DOI 10.5802/afst.287
  • —, Lectures on the general theory of integral functions, Toulouse, 1923.
  • Georges Valiron, Valeurs exceptionnelles et valeurs déficientes des fonctions méromorphes, C. R. Acad. Sci. Paris 225 (1947), 556–558 (French). MR 21976
  • E. T. Whittaker and G. N. Watson, A course of modern analysis, 4th ed., Cambridge, 1940.
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Additional Information
  • © Copyright 1959 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 93 (1959), 292-328
  • MSC: Primary 30.00
  • DOI: https://doi.org/10.1090/S0002-9947-1959-0109887-4
  • MathSciNet review: 0109887