2000 character limit reached
Combinatorics of q,r-analogues of Stirling numbers of type B (2401.08365v1)
Published 16 Jan 2024 in math.CO
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.