Combinatorics of q,r-analogues of Stirling numbers of type B
Abstract
Stirling number of the first and the second kinds have seen many generalizations and applications in various areas of mathematics. We introduce some combinatorial parameters which realize q-analogues and Broder's r-variants of Stirling numbers of type B of both kinds, which count signed set partitions and signed permutations respectively. Applications to orthogonality relations and power sums are given.
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