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

Autor:	Natalya Zheltukhina, Iossif Ostrovskii
Rok vydání:	2010
Předmět:	Power series Section (fiber bundle) Distribution (mathematics) General Mathematics Mathematical analysis Zero (complex analysis) Order (group theory) Function (mathematics) Mathematics Mathematical physics
Zdroj:	Mathematische Nachrichten. 283:573-587
ISSN:	0025-584X
Popis:	We study the asymptotic (as n ∞) zero distribution of In (z, μ, Γλ) = (1 - μ)sn (z, Γλ) - μtn +1(z, Γλ), where μ ∈ ℂ, sn is nth section, tn is nth tail of the power series of classical Lindelof function Γλ of order λ. Our results generalize the results by A. Edrei, E. B. Saff, and R. S. Varga for the case μ = 0 (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::59bec0b8272daa54426502b383668416 https://doi.org/10.1002/mana.200610831 Zobrazit plný text záznamu Plný text