@Article{Hongyo2017,
author = "Hongyo, Akane and Yamaoka, Naoto",
title = "General solutions of second-order linear difference equations of Euler type",
journal = "Opuscula Math.",
year = "2017",
volume = "37",
number = "3",
pages = "389--402",
doi = "http://dx.doi.org/10.7494/OpMath.2017.37.3.389",
url = "http://dx.doi.org/10.7494/OpMath.2017.37.3.389",
abstract = "The purpose of this paper is to give general solutions of linear difference equations which are related to the Euler-Cauchy differential equation \(y^{\prime\prime}+(\lambda/t^2)y=0\) or more general linear differential equations. We also show that the asymptotic behavior of solutions of the linear difference equations are similar to solutions of the linear differential equations.",
keywords = "Euler-Cauchy equations, oscillation, conditionally oscillatory",
issn = "1232-9274"
}