论文标题
离散和$ Q $渐近迭代方法
A discrete and $q$ Asymptotic Iteration Method
论文作者
论文摘要
我们介绍了Ciftci，Hall和Saad的渐近迭代方法的有限差和$ Q $ - 差异类似物。我们为存在的多项式解决方案提供了必要且充分的条件。当差异或$ q $ -Difference方程具有多项式解决方案时，我们将展示如何找到第二个解决方案。
We 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.
