×

On the characteristic of functions meromorphic in the unit disk and of their integrals. (English) Zbl 0141.07802


MSC:

30D30 Meromorphic functions of one complex variable (general theory)
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Citations:

Zbl 0138.05703
PDFBibTeX XMLCite
Full Text: DOI

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. · Zbl 0045.35703
[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. · JFM 56.0264.02 · doi:10.1007/BF02547518
[5] –, Some properties of fractional integrals. II.Math. Z., 34 (1931), 403–439. · Zbl 0003.15601 · 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. · Zbl 0138.05703
[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. · JFM 52.0497.05 · doi:10.1007/BF02565338
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.