Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-24T17:28:51.839Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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