The order of entire functions with radially distributed zeros
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- by Faruk F. Abi-Khuzam PDF
- Proc. Amer. Math. Soc. 82 (1981), 71-75 Request permission
Abstract:
It is shown that an entire function with radially distributed zeros has finite order $\lambda$ if it has finite lower order $\mu$. It is then shown that functions with real negative zeros only are extremal for the problem of maximizing the Nevanlinna characteristic in the class of entire functions satisfying $\lambda - \mu > 1$.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 71-75
- MSC: Primary 30D20; Secondary 30D35
- DOI: https://doi.org/10.1090/S0002-9939-1981-0603604-4
- MathSciNet review: 603604