The deficiency of entire functions with Fejér gaps
Copyright policy )The deficiency of entire functions with Fejér gaps
We say that an entire function f ( z ) = ∑ k = 0 a k z n k ( 0 = n 0 < n 1 < n 2 < ... ) has Fejér gaps if ∑ k = 1 ∞ 1 / n k < ∞ . The main result of this paper is as follows: An entire function with Fejér gaps has no finite deficient value.
Fejer gap, Representations of entire functions of one complex variable by series and integrals, deficiency, Fabry gap, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
Fejer gap, Representations of entire functions of one complex variable by series and integrals, deficiency, Fabry gap, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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