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Entire and Meromorphic Functions with Asymptotically Prescribed Characteristic

Published online by Cambridge University Press:  20 November 2018

Albert Edrei  and
Wolfgang H. J. Fuchs
Albert Edrei
Affiliation:
Cornell University
Wolfgang H. J. Fuchs
Affiliation:
Cornell University
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If f(z) is a non-constant, entire function, then Hadamard's three-circles theorem asserts that

is a convex, increasing function of log r. Hence, by well-known properties of logarithmically convex functions,

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 17 , 1965 , pp. 383 - 395
Copyright
Copyright © Canadian Mathematical Society 1965

References

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