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- Publisher
- de Gruyter
- Copyright
- © 2022 Eli Bagno et al., published by Sciendo
- eISSN
- 1788-800X
- DOI
- 10.2478/puma-2022-0003
- Publisher site
- See Article on Publisher Site
Abstract
AbstractA generalization of the Stirling numbers of the second kind of type B is given in two different directions. One generalization is via their q-analogue and the other one uses r distinguished elements. Both directions are explained and proved in a combinatorial way using generalized restricted growth words which we define here for type B. Moreover, we present their ordinary and exponential generating functions, where the exponential generating function is also used to present the r-variant as connection constants between two bases of ℝ[x].
Journal
Pure Mathematics and Applications – de Gruyter
Published: Jun 1, 2022
Keywords: Stirling numbers of second kind; set partition; type B; restricted growth word; generating function; 05A18; 05A30; 11B73