Weighted K-k-Schur functions interpolate between two known Katalan function families, and their recursive expansion proves the K-k-Schur alternating conjecture for partitions whose first b_lambda parts are strictly decreasing.
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Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture
Weighted K-k-Schur functions interpolate between two known Katalan function families, and their recursive expansion proves the K-k-Schur alternating conjecture for partitions whose first b_lambda parts are strictly decreasing.