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Estimates for the growth and decrease of an entire function of infinite order on curves. (English. Russian original) Zbl 1062.30027

Sb. Math. 194, No. 8, 1167-1194 (2003); translation from Mat. Sb. 194, No. 8, 55-82 (2003).
Summary: Relations between the growth of an entire Dirichlet series with Fejér lacunary and its decrease on curves going to infinity are studied. Sharp estimates are found in the most general case.

MSC:

30D15 Special classes of entire functions of one complex variable and growth estimates
30B50 Dirichlet series, exponential series and other series in one complex variable
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