Entire functions with almost radially distributed values

Author:
Shigeru Kimura

Journal:
Proc. Amer. Math. Soc. **71** (1978), 73-78

MSC:
Primary 30A70

DOI:
https://doi.org/10.1090/S0002-9939-1978-0486525-X

MathSciNet review:
0486525

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be an entire function of finite lower order. Assume that there exist a positive number *h* and an unbounded sequence such that all roots of the equations lie in . Then is a polynomial of degree not greater than two. The hypothesis of the finiteness of lower order of cannot be removed.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1978-0486525-X

Keywords:
Entire function,
almost radially distributed value,
lower order,
deficiency

Article copyright:
© Copyright 1978
American Mathematical Society