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Deficient values and angular distribution of entire functions
1988
Transactions of the American Mathematical Society
Let f(z) be an entire function of positive and finite order n-If f(z) has a finite number of Borel directions of order > n, tnen tne sum of numbers of finite nonzero deficient values of f(z) and all its primitives does not exceed In-The proof is based on several lemmas and application of harmonic measure.
doi:10.1090/s0002-9947-1988-0930073-8
fatcat:cp43hqpktzci7o4hyrjx75tgnu