Let 
be a family of partitions of 
and let 
denote the set of partitions
in 
with Durfee square of size 
. The Durfee polynomial of 
is then defined as the polynomial
 |
where 
.
Durfee Polynomial
See also
Durfee Square, PartitionExplore with Wolfram|Alpha
References
Canfield, E. R.; Corteel, S.; and Savage, C. D. "Durfee Polynomials." Electronic J. Combinatorics 5, No. 1, R32, 1-21, 1998. http://www.combinatorics.org/Volume_5/Abstracts/v5i1r32.html.Referenced on Wolfram|Alpha
Durfee PolynomialCite this as:
Weisstein, Eric W. "Durfee Polynomial." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DurfeePolynomial.html