Deficient values and angular distribution of entire functions
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- by Lo Yang
- Trans. Amer. Math. Soc. 308 (1988), 583-601
- DOI: https://doi.org/10.1090/S0002-9947-1988-0930073-8
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Abstract:
Let $f(z)$ be an entire function of positive and finite order $\mu$. If $f(z)$ has a finite number of Borel directions of order $\geqslant \mu$, then the sum of numbers of finite nonzero deficient values of $f(z)$ and all its primitives does not exceed $2\mu$. The proof is based on several lemmas and application of harmonic measure.References
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Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 308 (1988), 583-601
- MSC: Primary 30D35; Secondary 30D30
- DOI: https://doi.org/10.1090/S0002-9947-1988-0930073-8
- MathSciNet review: 930073