Asymptotic iteration method for solving Hahn difference equations
Lucas MacQuarrie1, Nasser Saad1, Md Shafiqul Islam1
1School of Mathematical and Computational Sciences, University of Prince Edward Island, Charlottetown, Canada.
Advances in Difference Equations
|November 11, 2021
Abstract:
Hahn's difference operator , , , is used to unify the recently established difference and q-asymptotic iteration methods (DAIM, qAIM). The technique is applied to solve the second-order linear Hahn difference equations. The necessary and sufficient conditions for polynomial solutions are derived and examined for the -hypergeometric equation.
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