一类两个指标的非常系数线性递推式之解

一类两个指标的非常系数线性递推式之解 The Solution of A Class of Linear Recurrence with Variable Coefficients Having Two Indices 余长安 YU Chang’an 1 first-author 武汉大学数学与计算机科学学院,湖北,武汉,430072 武汉大学数学与计算机科学学院,湖北,武汉,430072 College of Mathematics and Computer Science,Wuhan U niversity,Wuhan 0 72 College of Mathematics and Computer Science,Wuhan U niversity,Wuhan 0 72 根据代数方程的求解原理 ,利用传统的数学归纳方法 ,通过严密的推导得到了一类两个指标的非常系数线性递推式的显式解 ,从而为解决与之相关的定解问题 ,提供了一个统一、具体的计算公式 . It is very difficult to get a clear formula solution of general linear recurrence,even for the case of homogeneous recurrence of constantcoefficients with one indicds.Now by using the basec principle of solution algebrac equation,the solution of a class of linear recurrence with variable coeficients is given and expressed as a function of its coefficients and initial value. 两个指标 非常系数 线性递推式 显式解 two indices variable coefficients linear recurrence explicit solution 10.14188/j.1671-8836.2000.05.006 O157 国家自然科学基金资助项目!（ 197710 63 ） 2000-05-01 2021-04-01 5