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The asymptotic zero distribution of sections and tails of classical Lindelöf functions

✍ Scribed by Iossif Ostrovskii; Natalya Zheltukhina

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
188 KB
Volume
283
Category
Article
ISSN
0025-584X

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✦ Synopsis

We study the asymptotic (as n → ∞) zero distribution of

where μ ∈ C, sn is n th section, tn is n th tail of the power series of classical Lindelöf function Γ λ of order λ. Our results generalize the results by A. Edrei, E. B. Saff, and R. S. Varga for the case μ = 0.

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