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The deficiency of entire functions with Fejér gaps

Takafumi Murai — 1983

Annales de l'institut Fourier

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.

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