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General solutions of second-order linear difference equations of Euler type

Hongyo A., Yamaoka N.

Opuscula Mathematica

2017

Vol. 37, no. 3

389--402

The purpose of this paper is to give general solutions of linear difference equations which are related to the Euler-Cauchy differential equation [formula] 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.