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Entire functions having asymptotic functions

Published online by Cambridge University Press:  17 April 2009

P.C. Fenton
P.C. Fenton
Affiliation:
Department of Mathematics, University of Otago, Dunedin, New Zealand.
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Abstract

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It is shown that an entire function having k distinct entire asymptotic functions of order less than ¼ is of lower order ½k, mean type at least; further that if f is of lower order ½k, mean type, then its order is ½k.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 3 , June 1983 , pp. 321 - 328
Copyright
Copyright © Australian Mathematical Society 1983

References

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