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On the coefficients of certain automorphic functions

Published online by Cambridge University Press:  24 October 2008

W. K. Hayman ,
S. J. Patterson  and
Ch. Pommerenke
W. K. Hayman
Affiliation:
Imperial College, London, S.W. 7, England
S. J. Patterson
Affiliation:
The University, Cambridge, England
Ch. Pommerenke
Affiliation:
Technische Universität, 1 Berlin 12, Germany
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Extract

Suppose that

is regular in the unit disk D = {|z| < 1}, and assumes there values ω lying in a domain Δ. It is natural to ask what effect this restriction has on the coefficients aν. The strongest order result we can hope to prove is that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 3 , November 1977 , pp. 357 - 367
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

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