Erdal Bas, Ramazan Ozarslan
Published 2015-04-24Version 1
In this paper, Sturm-Liouville problem for difference equations is considered with potential function q(n). The representations of solutions are obtained by variation of parameters method. These solutions are proved, using summation by parts. Also, estimation of asymptotic expansion of the solutions are established.
Spectral types of linear $q$-difference equations and $q$-analog of middle convolution
$q$-Difference Equations and Identities of the Rogers--Ramanujan--Bailey Type
Polynomial Solutions to Difference Equations Connected to Painleve' II-VI
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