how can I find the coefficient of $x^ny^m$ of following series $$\frac{\log\big(\frac{1}{1-xy}\big)}{(1-x)(1-y)(1-xy)}$$ and $$ \frac{\log(\frac{1}{1-x})}{(1-x)(1-y)(1-xy)}$$ where $1 \leq m \leq n$
Find coefficient of $x^ny^m$
1
$\begingroup$
combinatorics
-
0You can write this functions as a Cauchy product of four series. Why do you want $m\leq n$? – 2012-07-22
-
1I am trying to understand this paper on partial quick sort. http://www.lsi.upc.edu/~conrado/research/reports/ALCOMFT-TR-03-50.pdf . Page no 3 (F(z,u)*=) – 2012-07-22