Abstract
In 1959, W.K. Hayman [1] obtained a series of interesting results on Picard exceptional values of meromorphic functions. Among others, he proved.
Theorem A. Let f(z) be a transcendental meromorphic function in the finite plane. If k is an integer not less than 5 and a is a finite non-zero complex value, then f’—afkassumes every finite complex value infinitely often.
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References
Hayman W.K., Picard values of meromorphic functions and their derivatives, Ann. of Math., 70 (1959), 9–42.
Langley J.K., On normal families and a result of Drasin, Proc. Royal Soc. Edinburgh, 98A (1984), 385–393.
Li Xianjin, Proof of a conjecture of Hayman, Sci. Sinica, Series A, 28 (1985), 596–603.
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Yang Lo et Shiao Shiou-zhi, Sur les points de Borel des fonctions méro-morphes et de leurs dérivées, Sci. Sinica, 14 (1965), 1556–1573.
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© 1988 Birkhäuser Verlag Basel
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Yang, L. (1988). Angular Distribution of Meromorphic Functions in the Unit Disk. In: Hersch, J., Huber, A. (eds) Complex Analysis. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9158-5_22
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DOI: https://doi.org/10.1007/978-3-0348-9158-5_22
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