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On integral functions with distinct asymptotic values

Published online by Cambridge University Press:  24 October 2008

W. K. Hayman
W. K. Hayman
Affiliation:
Imperial College, London
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Extract

Suppose that p > 1 and let Γ1, Γ2, …, Γp be Jordan arcs going from 0 to ∞ and having no other common point and numbered in anti-clockwise order around the origin. Let Γp+1 = Γ1 and let Dv be the domain bounded by Γv and Γv+1 for v = 1 to p.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 2 , September 1969 , pp. 301 - 315
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Al-Katifi, W.On the asymptotic values and paths of certain integral and meromorphic functions. Proc. London Math. Soc. 3, 16 (1966), 599–634.CrossRefGoogle Scholar
(2)Cartwright, M. L.Integral functions (Cambridge, 1956).Google Scholar
(3)Hayman, W. K.Research problems in function theory (London, 1967).Google Scholar
(4)Kennedy, P. B.A class of integral functions bounded on certain curves. Proc. London Math. Soc. 3, 6 (1956), 515–547.Google Scholar
(5)Kjellberg, B. On certain integral and harmonic functions. Thesis, Uppsala, 1948.Google Scholar