一类双参数变系数递推关系的解公式

A Formula of Solutiona For a Claass of Recurrence Relation of Variable Coefficients with Two Parameters

本文给出了一类依赖于两个参数的递推关系的明显表达式。

In this paper an explicit formula is given for the solution of a class of recurrence relationwith variable coefficients having two parametersu_(i,j)=F(i,j)u_(i-1,j)+g(i,j)u_(i-p,j-1),u_(1,1)=c_1,u_(i,j)=0(i<1 or i< 1 or i<p(j-1)),where i,j=1,;f(i,j)and g(i,j)(i,j 1) are variable numbers; p 1;c_1 is arbitraryconstant.