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On the characteristic of functions meromorphic in the unit disk and of their integrals. (English) Zbl 0141.07802
MSC:
30D30General theory of meromorphic functions
30D35Distribution of values (one complex variable); Nevanlinna theory
References:
[1]Biernacki, M., Sur la caractéristiqueT(f) des fonctions méromorphes dans un cercle.Ann. Univ. Mariae Curie-Sklodowska, Sect. A, 9 (1955), 99–125.
[2]Chuang, C. T., Sur la comparaison de la croissance d’une fonction méromorphe et de celle de sa dérivée.Bull. Sci. Math. (2), 75 (1951), 171–190.
[3]Frostman, O., Sur les produits de Blaschke.Kungl. Fysiogr. Sällsk. i Lund Förh., 12 no. 15 (1942), 169–182.
[4]Hardy, G. H., &Littlewood, J. E., A maximal theorem with function-theoretic applications.Acta Math., 54 (1930), 81–116. · doi:10.1007/BF02547518
[5]–, Some properties of fractional integrals. II.Math. Z., 34 (1931), 403–439. · doi:10.1007/BF01180596
[6]Hayman, W. K., The minimum modulus of large integral functions.Proc. London Math. Soc. (3), 2 (1952), 469–512. · Zbl 0048.05503 · doi:10.1112/plms/s3-2.1.469
[7]–, On Nevanlinna’s second theorem and extensions.Rend. Circ. Mat. Palermo (2), 2 (1953), 346–392. · Zbl 0053.04502 · doi:10.1007/BF02843711
[8]Kennedy, P. B., On the derivative of a function of bounded characteristic.Quart. J. Math. Oxford, to be published.
[9]Classical Function Theory Problems.Bull. Amer. Math. Soc., 68 (1962), 21–24.
[10]Riesz, F., Sur les fonctions subharmoniques et leur rapport à la théorie du potentiel. I,Acta Math., 48 (1926), 329–343, and II,Acta Math., 54 (1930), 321–360. · doi:10.1007/BF02565338