@article{9ddfe67e1b7044dcb8dbac248a786a28,
title = "On functions K and E generated by a sequence of moments",
abstract = "For a class of functions γ analytic in the angle {s:|arg(s)|<α0} with π2<α0<π, we describe the asymptotic behaviour of the entire function E(z)=∑n≥0znγ(n+1)and of the analytic function K(z)=12πi∫c−i∞c+i∞z−sγ(s)dsthat solves the moment problem ∫0∞tnK(t)dt=γ(n+1),n≥0.",
keywords = "Asymptotics, Entire functions represented by Taylor series, Saddle point method, The Mellin transform",
author = "Avner Kiro and Mikhail Sodin",
note = "Publisher Copyright: {\textcopyright} 2017 Elsevier GmbH",
year = "2017",
month = dec,
doi = "10.1016/j.exmath.2017.05.004",
language = "אנגלית",
volume = "35",
pages = "443--477",
journal = "Expositiones Mathematicae",
issn = "0723-0869",
publisher = "Urban und Fischer Verlag Jena",
number = "4",
}