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

Ostrovskii Iossif | Zendy; Zheltukhitalya | Zendy

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

Author(s) -

Ostrovskii Iossif,

Zheltukhitalya

Publication year - 2010

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200610831

Subject(s) - mathematics , zero (linguistics) , section (typography) , series (stratigraphy) , distribution (mathematics) , order (exchange) , combinatorics , function (biology) , power series , mathematical physics , pure mathematics , mathematical analysis , paleontology , philosophy , linguistics , finance , evolutionary biology , advertising , economics , business , biology

We study the asymptotic (as n → ∞) zero distribution ofI n ( z , μ , Γ λ ) = (1 ‐ μ ) s n ( z , Γ λ ) ‐ μt n +1 ( z , Γ λ ), where μ ∈ ℂ, s n is n th section, t n 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 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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