A note on degenerate r-Stirling numbers

A note on degenerate r-Stirling numbers

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Abstract the gel bottle audrey The aim of this paper is to study the unsigned degenerate r-Stirling numbers of the first kind as degenerate versions of the r-Stirling numbers of the first kind and the degenerate r-Stirling numbers of the second kind as those of the r-Stirling numbers of the second kind.For the degenerate r-Stirling numbers of both kinds, we derive hp pavilion 15-eg1053cl recurrence relations, generating functions, explicit expressions, and some identities involving them.