Geodesic
The (l, r)-Stirling numbers: a combinatorial approach
Filomat, Tome 37 (2023) no. 8, p. 2587

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DOI

This work deals with a new generalization of r-Stirling numbers using l-tuple of permutations and partitions called (l, r)-Stirling numbers of both kinds. We study various properties of these numbers using combinatorial interpretations and symmetric functions. Also, we give a limit representation of the multiple zeta function using (l, r)-Stirling of the first kind.
DOI : 10.2298/FIL2308587B
Classification : 11B73, 11B83, 05A05, 05A18, 05E05
Keywords: Permutations, Set partitions, Stirling numbers, Symmetric functions, r-Stirling numbers 
Hacène Belbachir; Yahia Djemmada. The (l, r)-Stirling numbers: a combinatorial approach. Filomat, Tome 37 (2023) no. 8, p. 2587 . doi: 10.2298/FIL2308587B
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     title = {The (l, {r)-Stirling} numbers: a combinatorial approach},
     journal = {Filomat},
     pages = {2587 },
     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308587B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308587B/}
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