References
Bombieri, E. &Ragnedda, P., Sulle deficienze delle funzioni meromorfe di ordine inferiore finito.Rend. Sem. Fac. Sci. Univ. Cagliari, 37 (1967), 23–38.
Edrei, A., Sums of deficiencies of meromorphic functions.J. Analyse Math., 14 (1965), 79–107.
Edrei, A. &Fuchs, W., On the growth of meromorphic functions with several deficient values.Trans. Amer. Math. Soc., 93 (1959), 292–328.
—, Bounds for the number of deficient values of certain classes of functions.Proc. London Math. Soc., 12 (1962), 315–344.
Fuchs, W., A theorem on the Nevanlinna deficiencies of meromorphic functions of finite order.Ann. of Math., 68 (1958), 203–209.
Goldberg, A., On the deficiencies of meromorphic functions.Dokl. Akad. Nauk SSSR, 98 (1954), 893–895.
Hayman, W.,Multivalent functions. Cambridge, 1958.
Hayman, W. Meromorphic functions. Oxford, 1964.
Kazakova, I. &Ostrovskii, I., On the defects of meromorphic functions of small orders.Zapiski Mekh.-Matem. Fak. Khar'k. Gos. Un. i Khar'k. Matem. Obsč. 30 (1964), 70–73.
Natanson, I.,Theory of functions of a real variable. Ungar, 1961.
Nevanlinna, R.,Le Théorème de Picard-Borel et la théorie des fonctions meromorphes. Gauthier-Villars, 1929.
Nevanlinna, R.,Analytic functions. Springer, 1970.
Petrenko, V., Defects of meromorphic functions.Dokl. Akad. Nauk SSSR, 158 (1964), 1030–1033.
—, Some estimates for the magnitudes of defects of a meromorphic function.Sib. Mat. Zh. 7 (1966), 1319–1336.
Selberg, H., Eine Ungleichung des Potentialtheorie und ihre Andwendung in der Theorie der meromorphen Funktionen.Comment. Math. Helv., 18 (1945), 309–326.
Teichmüller, O., Vermutungen und Sätze über die Wertverteilung gebrochener Funktionen endlicher Ordnung.Deutsche Math., 4 (1939), 163–190.
Tsuji, M.,Potential theory in modern function theory. Maruzen, 1959.
Weitsman, A., Meromorphic functions with maximal deficiency sum and a conjecture of F. Nevanlinna.Acta Math. 123 (1969), 115–139.
Author information
Authors and Affiliations
Additional information
Research supported by N. S. F. grant GP-9454.
Rights and permissions
About this article
Cite this article
Weitsman, A. A theorem on Nevanlinna deficiencies. Acta Math. 128, 41–52 (1972). https://doi.org/10.1007/BF02392158
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02392158