TY - JOUR
T1 - New Modular Symmetric Function and its Applications
T2 - Modular s-Stirling Numbers
AU - Abdelghafour, Bazeniar
AU - Ahmia, Moussa
AU - Ramírez, José L.
AU - Villamizar, Diego
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.
PY - 2022/5
Y1 - 2022/5
N2 - In this paper, we consider generalizations of the Stirling number of the first and the second kind by using a specialization of a new family of symmetric functions. We give combinatorial interpretations for these symmetric functions by means of weighted lattice path and tilings. We also present some new convolutions involving the complete and elementary symmetric functions. Additionally, we introduce different families of set partitions to give combinatorial interpretations for the modular s-Stirling numbers.
AB - In this paper, we consider generalizations of the Stirling number of the first and the second kind by using a specialization of a new family of symmetric functions. We give combinatorial interpretations for these symmetric functions by means of weighted lattice path and tilings. We also present some new convolutions involving the complete and elementary symmetric functions. Additionally, we introduce different families of set partitions to give combinatorial interpretations for the modular s-Stirling numbers.
KW - Generating functions
KW - Stirling numbers
KW - Symmetric functions
UR - https://www.scopus.com/pages/publications/85126081365
U2 - 10.1007/s40840-022-01262-8
DO - 10.1007/s40840-022-01262-8
M3 - Article
AN - SCOPUS:85126081365
SN - 0126-6705
VL - 45
SP - 1093
EP - 1109
JO - Bulletin of the Malaysian Mathematical Sciences Society
JF - Bulletin of the Malaysian Mathematical Sciences Society
IS - 3
ER -