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On the Valiron deficiencies of meromorphic functions of finite order. (English) Zbl 0158.07103

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[1] Albert Edrei, The deficiencies of meromorphic functions of finite lower order, Duke Math. J. 31 (1964), 1 – 21. · Zbl 0123.26802
[2] Albert Edrei, Sums of deficiencies of meromorphic functions, J. Analyse Math. 14 (1965), 79 – 107. · Zbl 0154.07402 · doi:10.1007/BF02806380 · doi.org
[3] Albert Edrei and Wolfgang H. J. Fuchs, On the growth of meromorphic functions with several deficient values., Trans. Amer. Math. Soc. 93 (1959), 292 – 328. · Zbl 0092.07201
[4] Albert Edrei and Wolfgang H. J. Fuchs, The deficiencies of meromorphic functions of order less than one, Duke Math. J. 27 (1960), 233 – 249. · Zbl 0094.04901
[5] -, On the maximum number of deficient values of certain classes of functions, AFOSR Report TN 60-402 (April 1960).
[6] Albert Edrei, Wolfgang H. J. Fuchs, and Simon Hellerstein, Radial distribution and deficiencies of the values of a meromorphic function, Pacific J. Math. 11 (1961), 135 – 151. · Zbl 0103.04602
[7] A. A. Gol\(^{\prime}\)dberg, Distribution of values of meromorphic functions with separated zeroes and poles, Soviet Math. Dokl. 2 (1961), 389 – 392. · Zbl 0102.06203
[8] W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. · Zbl 0115.06203
[9] S. Hellerstein, On a class of meromorphic functions with deficient zeros and poles, Pacific J. Math. 13 (1963), 115 – 124. · Zbl 0112.30602
[10] R. Nevanlinna, Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Gauthier-Villars Paris, 1930. · JFM 55.0773.03
[11] Rolf Nevanlinna, Eindeutige analytische Funktionen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Bd XLVI, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1953 (German). 2te Aufl. · Zbl 0050.30302
[12] I. V. Ostrovskiĭ, Certain asymptotic properties of entire functions with real negative zeros, Zap. Meh.-Mat. Fak. i Har’kov. Mat. Obšč. (4) 28 (1961), 23 – 32 (Russian).
[13] 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). · JFM 46.1462.03
[14] -, Lectures on the general theory of integral functions, Toulouse, 1923.
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