The deficiency of entire functions with Fejér gaps
Annales de l'Institut Fourier, Tome 33 (1983) no. 3, pp. 39-58.

On dit qu’une fonction entière f(z)= k=0 a k z n k (0=n 0 <n 1 <n 2 <...) a des lacunes de Fejér si k=1 1/n k <. Le résultat principal de cet article est le suivant : Une fonction entière avec des lacunes de Fejér n’a pas de valeur déficiente finie.

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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     title = {The deficiency of entire functions with {Fej\'er} gaps},
     journal = {Annales de l'Institut Fourier},
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Murai, Takafumi. The deficiency of entire functions with Fejér gaps. Annales de l'Institut Fourier, Tome 33 (1983) no. 3, pp. 39-58. doi : 10.5802/aif.930. http://www.numdam.org/articles/10.5802/aif.930/

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