摘要
给出了一阶变系数非齐次线性差分方程的一种和式解,结合一阶、二阶、特别是三阶常系数线性差分方程的理论,讨论了差分方程在概率计算中的应用.说明结合概率论原有的方法和技巧,差分方程方法则是概率计算的一种非常有效的方法.
The solution of a sum type of linear non-homogeneous variable coefficient difference equations of order one is given.Using this and the theory of difference equations of order one,two and especially three,the method of difference equations in the calculation of probability is discussed.It is shown that,with the method and technique of the theory of probability,the method of difference equations is a very effective method in the calculation of probability.
作者
刘伟明
孙海冰
程晓亮
LIU Wei-ming;SUN Hai-bing;CHENG Xiao-liang(Department of Mathematics and Physics,Beijing Institute of Petrochemical Technology,Beijing 102617,China;College of Mathematics and Computer Science,Jilin Normal University,Siping 136000,China)
出处
《吉林师范大学学报（自然科学版）》
2023年第3期50-55,共6页
Journal of Jilin Normal University:Natural Science Edition
基金
国家自然科学基金项目(11826405)。
关键词
差分方程
概率计算
变系数
difference equation
calculation of probability
variable coefficient
