On the order and lower order of entire functions with radially distributed zeros

Steinmetz, Norbert

doi:10.1090/S0002-9939-1983-0684637-0

On the order and lower order of entire functions with radially distributed zeros
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Proc. Amer. Math. Soc. 87 (1983), 449-452 Request permission

Abstract:

It is shown that the order and lower order of an entire function with zeros restricted to $k$ distinct rays differ at most by $k$, if either $k \leqslant 2$ or if the zeros or the rays are regularly distributed.

References

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On the maximum number of deficient values of certain classes of functions

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Bemerkungen zur Theorie der ganzen Funktionen endlicher Ordnung

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