## Deficient values and angular distribution of entire functions.(English)Zbl 0653.30022

Theorem. Let f(z) be an entire function of lower order $$\mu$$, $$0<\mu <\infty$$. If $$q<\infty$$ is the number of Borel directions of order $$\geq \mu$$ of f(z) and $$P_ j$$ $$(j=0,-1,-2,...)$$ is the number of finite, non- zero deficient values of $$f^{(j)}(z)$$ $$[=a$$ primitive of order $$| j|$$ of f(z)], then $$\sum^{\infty}_{j=0}P_ j\leq 2\mu$$.
Reviewer: W.H.J.Fuchs

### MSC:

 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory 30D20 Entire functions of one complex variable (general theory)

### Keywords:

Borel directions; deficient values
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### References:

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