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arXiv:2106.12935 [math.CO]AbstractReferencesReviewsResources

$(p, q)$-analogues of the generalized Touchard polynomials and Stirling numbers

Lahcen Oussi

Published 2021-06-24Version 1

In this paper we introduce a $(p, q)$-deformed analogues of the generalized Touchard polynomials and Stirling numbers, the post-quantum analogues of the $q$-deformed generalized Touchard polynomials and Stirling numbers. The connection between these deformations is established. A recurrence relation for the $(p, q)$-deformed generalized Touchard polynomials is expounded, elucidating a $(p, q)$-deformation of Spivey's relation.

Comments: 17 pages
Categories: math.CO
Subjects: 11B73, 05A30, 11B65, 11S05, 05A99
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