I wanted to ask if anyone knows of good texts/resources on methods for solving holonomic recurrence relations (if there are any general analytical approaches): $$p_1(n)a(n)+p_2(n)a(n-1)+\cdots+p_k(n)a(n-k+1) = 0,\quad \text{p a polynomial in n}.$$

Only analytical approach I can find online is when we have a non-homogeneous two-term equation and can apply the method of summation factor.

I wanted to ask if anyone knows of good texts/resources on methods for solving holonomic recurrence relations (if there are any general analytical approaches): $$p_1(n)a(n)+p_2(n)a(n-1)+\dotsb+p_k(n)a(n-k+1) = 0,\quad \text{$p$ a polynomial in $n$}.$$

Only analytical approach I can find online is when we have a non-homogeneous two-term equation and can apply the method of summation factor.