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A theorem of Picard type for Dirichlet series. (English) Zbl 0918.30004

Summary: An improved version of Mandelbrojt theorems of Picard type for Dirichlet series is given by introducing Julia lines.

MSC:

30B50 Dirichlet series, exponential series and other series in one complex variable
Full Text: DOI

References:

[1] Mandelbrojt, S., Séries de Dirichlet, Principes et méthodes, 38-38 (1969), Paris: Gouthier-villers, Paris · Zbl 0207.07201
[2] Mandelbrojt, S., Selecta, 210-210 (1981), Paris: Goutheir-villers, Paris · Zbl 0466.30003
[3] Mandelbrojt, S., Séries adhérentes Régularisation des suites Applications (1952), Paris: Gouthier-Villers, Paris · Zbl 0048.05203
[4] Tsuji, M., Potential Theory in Modern Function Theory, 268-268 (1959), Wuhan: Maruzen, Wuhan · Zbl 0087.28401
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