Asymptotic zero distribution of sections and tails of Mittag-Leffler functions

Abstract

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.