Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647403 | Discrete Mathematics | 2014 | 7 Pages |
Abstract
This paper presents a new method to solve functional equations of multivariate generating functions, such as F(r,s)=e(r,s)+xf(r,s)F(1,1)+xg(r,s)F(qr,1)+xh(r,s)F(qr,qs), giving a formula for F(r,s) in terms of a sum over finite sequences. We use this method to show how one would calculate the coefficients of the generating function for parallelogram polyominoes, which is impractical using other methods. We also apply this method to answer a question from fully commutative affine permutations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Michael Chon, Christopher R.H. Hanusa, Amy Lee,