摘要
利用数学归纳法对求和标取自三角形标程的求和问题进行研究,得到三角形标程上的求和公式.利用三角形标程上的求和公式对二元函数的泰勒展开问题进行研究,得到二元函数的一种新展开形式.利用此求和公式对常系数齐次线性微分方程基本解组的构成问题进行研究,得到一个关于线性微分算子的新公式,从而简捷统一地处理了常系数齐次线性微分方程基本解组的构成问题.
Using the mathematical induction method to study summation problem of summation variables belonging to triangle lattice set,obtains the summation formula of variables belonging to triangle lattice set.Using this formula to study the Taylor expansion of binary function,a new formula about expansion of binary function is obtained. Studies the problem of the formation of basic solution of homogeneous linear differential equation with constant coefficients using the new summation formula,and gets a new formula about linear differential operator,so that simple and unified deal with the problem of the formation of basic solution of homogeneous linear differential equation with constant coefficients.
作者
徐斌
XU Bin(School of Mathematics and Statistics,Pu′er University,Pu′er 665099,Chin)
出处
《高师理科学刊》
2018年第4期4-6,共3页
Journal of Science of Teachers＇College and University
基金
云南省普洱学院校级科研立项(2015xjkt21)--矩阵的Kronecker积在多元多项式理论中的运用
关键词
三角形标程
求和公式
二元函数的泰勒展开
常系数齐次线性微分方程
triangle lattice set
summation formula
Taylor expansion of binary function
homogeneous linear differential equation with constant coefficients
