离散的$q$渐近迭代法
A discrete and $q$ Asymptotic Iteration Method
摘要：
我们介绍了一个有限差分和$q$ -差分类似物的渐近迭代法的Ciftci，霍尔和萨阿德。给出了一般线性二阶差分方程或$q$ -差分方程在精确定义的“终止条件”下多项式解存在的充分条件.当一个差分或$q$ -差分方程有多项式解时，我们展示了如何找到第二个解。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
