关于一类两个指标的齐次递归关系的解的结构

The Construction of Solution for a Class of Homogeneous Recurrence Relation with two Indices

推广了屠规彰的结果[1] 。

This paper considers the following homogeneous recu rrence relation with two indices∑pk=1∑2r=0a\-\{k-r\}u\-\{i-k,j-r\}\ \ j=0,i≥p \%or\% j≥1, i≥\j+12\],u\-\{s,0\}=c\-s\ (s=0,1,\:,p-1),u\-\{i,j\}=0\ (i<0 \%or\% j<0 \%or\% j≥1,i<\j+12\]),),where \$i,j≥0,p≥1,a\-\{k,r\} (k=1,2,\:,p; r=0,1,2)\$ are constants. Its genera l solution is given by the following formulau\-\{i,j\}=∑p-1s=0{F(i-s-j,j;s)}c\-s\ (i,j≥0