Comptes Rendus
no. 2
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]
Natalya Zheltukhina1
1Department of Mathematics, Bilkent University, 06533 Bilkent, Ankara, Turkey
Comptes Rendus. Mathématique, Volume 335 (2002) no. 2, pp. 133-138

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.

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.

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

Natalya Zheltukhina  1

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