New proofs of determinant evaluations related to plane partitions
The electronic journal of combinatorics, Tome 19 (2012) no. 4
We give a new proof of a determinant evaluation due to Andrews, which has been used to enumerate cyclically symmetric and descending plane partitions. We also prove some related results, including a $q$-analogue of Andrews's determinant.
DOI :
10.37236/2357
Classification :
05A17, 15A15, 33C45, 33D45, 11P81
Mots-clés : plane partitions, determinant evaluations, orthogonal polynomials
Mots-clés : plane partitions, determinant evaluations, orthogonal polynomials
Affiliations des auteurs :
Hjalmar Rosengren  1
@article{10_37236_2357,
author = {Hjalmar Rosengren},
title = {New proofs of determinant evaluations related to plane partitions},
journal = {The electronic journal of combinatorics},
year = {2012},
volume = {19},
number = {4},
doi = {10.37236/2357},
zbl = {1267.05033},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2357/}
}
Hjalmar Rosengren. New proofs of determinant evaluations related to plane partitions. The electronic journal of combinatorics, Tome 19 (2012) no. 4. doi: 10.37236/2357
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