Abstract
Let f be an entire function of positive and finite lower order are q (1 ≤ q < + ∞) rays issued from the origin. If f and f (l) (l = 1, 2 …) have no Borel direction of order ≥ μ except for , then the sum of the numbers of the finite nonzero deficient values off and all its primitives and derivatives is smaller than 2μ. The proof is based on several lemmas and application of harmonic measure.
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