The (l,r)-Stirling numbers: A combinatorial approach-Reference-Cited by-同舟云学术

The (l,r)-Stirling numbers: A combinatorial approach

Published:2023 Issue:8 Volume:37 Page:2587-2598
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Belbachir Hacène¹,Djemmada Yahia²

Affiliation:

1. USTHB, Faculty of Mathematics, RECITS Laboratory, El Alia, Bab Ezzouar, Algiers, Algeria + Research Center on Scientific and Technical Information (CERIST), Ben Aknoun, Algiers, Algeria

2. USTHB, Faculty of Mathematics, RECITS Laboratory, El Alia, Bab Ezzouar, Algiers, Algeria + National Higher School of Mathematics, Mahelma, Sidi Abdellah, Algiers, Algeria

Abstract

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.

Publisher

National Library of Serbia

Subject

General Mathematics

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