Power series techniques for a special Schrödinger operator and related difference equations

We address finding solutions y∈ðÂ’ž2(â„Â+) of the special (linear) ordinary differential equation xy″(x)+(ax2+b)y′(x)+(cx+d)y(x)=0 for all x∈â„Â+, where a,b,c,d∈℠are constant parameters. This will be achieved in three special cases via separation and a power ser...

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Bibliographic Details
Main Authors: Andreas Ruffing, Moritz Simon
Format: Article
Language:English
Published: SpringerOpen 2005-05-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/ADE.2005.109