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Regular Tsuji Functions with Infinitely Many Julia Points

Published online by Cambridge University Press:  22 January 2016

W. K. Hayman*
Affiliation:
Imperial College, London S.W. 7., England
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Let D denote the unit disk | z | < 1, and C the unit circle | z | = 1. Corresponding to any function f meromorphic in D we denote by f* the spherical derivative

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1967

References

[1] Collingwood, E. F. and Piranian, G., Tsuji functions with segments of Julia. Math. Zeit., 84 (1964), 246253.Google Scholar
[2] Hayman, W. K., The boundary behaviour of Tsuji functions. Michigan Math. J. to appear.Google Scholar
[3] Tsuji, M., A theorem on the boundary behaviour of a meromorphic function in | z | < 1 Comment. Math. Univ. St. Paul., 8 (1960), 5355.Google Scholar