Abstract

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.

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