A discrete and q asymptotic iteration method |
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Authors: | Mourad E H Ismail |
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Institution: | Department of Mathematics, University of Central Florida, Orlando, FL, USA https://orcid.org/0000-0001-9903-4777 |
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Abstract: | ABSTRACTWe introduce a finite difference and q-difference analogues of the Asymptotic Iteration Method of Ciftci, Hall, and Saad. We give necessary, and sufficient condition for the existence of a polynomial solution to a general linear second-order difference or q-difference equation subject to a ‘terminating condition’, which is precisely defined. When a difference or q-difference equation has a polynomial solution, we show how to find the second solution. |
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Keywords: | Asymptotic iteration method polynomial solutions of difference equations q-difference equations |
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