Browsing by Subject "Sections"

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    The asymptotic zero distribution of sections and tails of classical Lindelöf functions
    (2010) Ostrovskii, I.; Zheltukhina, N.
    We study the asymptotic (as n→∞) zero distribution of where μ ∈ C, sn is nth section, tn is nth tail of the power series of classical Lindelöf 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.
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    ItemOpen Access
    Asymptotic zero distribution of sections and tails of Mittag-Leffler functions
    (Elsevier, 2002) Zheltukhina, N.
    We study the asymptotic (as n→∞) zero distribution of where μ ∈ C, sn is nth section, tn is nth tail of the power series of classical Lindelöf 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.
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    On power serieshaving sectionswith multiply positive coefficients
    (Taylor & Francis, 2002-03-15) Zheltukhina, N. A.
    Polya’s theorem of 1913 says that if all sections of power series have real negative zeros only, then the series converges in the whole complex plane and its sum satisfies a certain growth condition. Here we show that the assertion of Po´ lya’s theorem remains valid for a much larger class of formal power series and, moreover, a better growth estimate holds.