## On special classes of entire functions whose zeros and growth are restricted

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- by Carl L. Prather
- Trans. Amer. Math. Soc.
**258**(1980), 181-189 - DOI: https://doi.org/10.1090/S0002-9947-1980-0554327-5
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## Abstract:

The present paper is an investigation of the uniform limits on bounded sets of entire functions of genus $\leqslant 2p$ whose zeros are real, or lie in an even number of sectors (or correspondingly on rays) of a certain size, both the number and size depending on*p*. A characterization of the uniform limits of entire functions of genus $\leqslant 2p$ whose zeros lie in these sectors is given.

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## Bibliographic Information

- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**258**(1980), 181-189 - MSC: Primary 30D15
- DOI: https://doi.org/10.1090/S0002-9947-1980-0554327-5
- MathSciNet review: 554327