Asymptotic expansions and positivity of coefficients for large powers of analytic functions
type: Item
instance of: scholarly article
title: Asymptotic expansions and positivity of coefficients for large powers of analytic functions
zbMATH Open document ID: 1033.41016
DOI: 10.1155/S0161171203205056
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-03-17T00:00:00Z
full work available at URL: https://eudml.org/doc/50643
review text: Asymptotic expansions are derived of coefficients of \((f(z))^n\), where \(f\) is an entire analytic function satisfying \(| f(z)| <f(| z| )\) for complex \(z\) off the positive real line. Conditions on \(f\) are given such that \((f(z))^n\) has only positive coefficients, if \(n\) is large enough.
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 26C99
zbMATH DE Number: 1883725
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: large powers of analytic functions
author: Valerio de Angelis
reviewed by: Nico M. Temme
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1883725