References
Arima, K., On maximum modulus of integral functions.J. Math. Soc. Japan, 4 (1952), 62–66.
Carleman, T., Sur une inégalité différentielle dans la theorie des fonctions analytiques.C. R. Acad. Sci. Paris, 196 (1933), 995–997.
Edrei, A., The deficiencies of meromorphic functions of finite lower order.Duke Math. J., 31 (1964), 1–22.
—, Sums of deficiencies of meromorphic functions,J. Analyse Math., 14 (1965), 79–107.
—, Sums of deficiencies of meromorphic functions II.J. Analyse Math., 19 (1967), 53–74.
Edrei, A., Locally tauberian theorems for meromorphic functions of lower order less than one. To appear inTrans. Amer. Math. Soc.
Edrei, A. &Fuchs, W. H. J., On the growth of meromorphic functions with several deficient values.Trans. Amer. Math. Soc., 93 (1959), 292–328.
—, Valeurs déficientes et valuers asymptotiques des fonctions méromorphes.Comment. Math. Helv., 33 (1959), 258–295.
—, Bounds for the number of deficient values of certain classes of functions.Proc. London Math. Soc., 12 (1962), 315–344.
Hayman, W.,Multivalent functions. Cambridge. 1958.
Hayman, W.,Meromorphic functions. Oxford, 1964.
Nevanlinna, F., Über eine Klasse meromorpher Functionen.Septième Congrès Math. Scand., Oslo, 1930, 81–83.
Pfluger, A., Zur Defektrelation ganzer Funktionen endlicher Ordnung.Comment. Math. Helv., 19 (1946), 91–104.
Whyburn, G.,Analytic topology. A. M. S. Coll. Publ. 1942.
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This research was supported in part by a grant from the National Science Foundation GP 7507.
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Weitsman, A. Meromorphic functions with maximal deficiency sum and a conjecture of F. Nevanlinna. Acta Math. 123, 115–139 (1969). https://doi.org/10.1007/BF02392387
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DOI: https://doi.org/10.1007/BF02392387