Asymptotic zero distribution of sections and tails of Mittag–Leffler functions
[Distribution asymptotique des zéros pour les sections et les restes des fonctions de Mittag–Leffler]
Zheltukhina, Natalya1
1 Department of Mathematics, Bilkent University, 06533 Bilkent, Ankara, Turkey
Comptes Rendus. Mathématique, Tome 335 (2002) no. 2, pp. 133-138.

On étudie la distribution asymptotique (quand n→∞) des zéros de (1−λ)sn(z)−λtn+1(z), où λ∈ℂ, sn est la nème section, tn est le nème reste du developpement de la fonction de Mittag–Leffler E1/ρ d'ordre ρ>1. On généralise les résultats obtenus par Edrei, Saff et Varga dans le cas λ=0.

We study the asymptotic (as n→∞) zéro distribution of (1−λ)sn(z)−λtn+1(z), where λ∈ℂ, sn is nth section, tn is nth tail of the power series of Mittag–Leffler function E1/ρ of order ρ>1. Our results generalize the results by Edrei, Saff and Varga for the case λ=0.

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Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02442-1
Zheltukhina, Natalya 1

1 Department of Mathematics, Bilkent University, 06533 Bilkent, Ankara, Turkey 
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Zheltukhina, Natalya. Asymptotic zero distribution of sections and tails of Mittag–Leffler functions. Comptes Rendus. Mathématique, Tome 335 (2002) no. 2, pp. 133-138. doi : 10.1016/S1631-073X(02)02442-1. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02442-1/

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