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In this paper, we will introduce the Cauchy numbers of both kinds in type B and produce their corresponding exponential generating functions. Then we will provide some identities involving Cauchy, Lah, and Stirling numbers in type B through combinato
Externí odkaz:
http://arxiv.org/abs/2312.14652
In this paper, we construct a mixed-base number system over the generalized symmetric group $G(m,1,n)$, which is a complex reflection group with a root system of type $B_n^{(m)}$. We also establish one-to-one correspondence between all positive integ
Externí odkaz:
http://arxiv.org/abs/2211.13961
In this paper, we define a mixed-base number system over a Weyl group of type $D$, the group even-signed permutations. We introduce one-to-one correspondence between positive integers and elements of Weyl groups of type $D$ after constructed the sube
Externí odkaz:
http://arxiv.org/abs/2211.00427
Publikováno v:
In Advances in Applied Mathematics March 2024 154
Akademický článek
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