no. 3
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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     author = {Murai, Takafumi},
     title = {The deficiency of entire functions with {Fej\'er} gaps},
     journal = {Annales de l'Institut Fourier},
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     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {33},
     number = {3},
     year = {1983},
     doi = {10.5802/aif.930},
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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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