Abstract
Let f ( z ) f(z) be an entire function of positive and finite order μ \mu . If f ( z ) f(z) has a finite number of Borel directions of order ⩾ μ \geqslant \mu , then the sum of numbers of finite nonzero deficient values of f ( z ) f(z) and all its primitives does not exceed 2 μ 2\mu . The proof is based on several lemmas and application of harmonic measure.
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