A Combinatorial Approach for q-Analogue of r-Stirling Numbers
Roberto B. Corcino, Jezer C. Fernandez
Journal of Advances in Mathematics and Computer Science · pp. 1268–1279 · Published 1 Mar 2014
10.9734/BJMCS/2014/8093Abstract
We define a q-analogue of r-Stirling numbers of the second kind using their combinatorial interpretation in terms of set partition. Some properties are obtained including recurrence relation, explicit formula and certain symmetric formula. Moreover, a q-analogue of r-Stirling numbers of the first kind is introduced to obtain a q-analogue of the orthogonality and inverse relations of the two kinds of r-Stirling numbers.
Cited by 5
· Commutation Relations, Normal Ordering, and Stirling Numbers · 2015
Beáta Bényi, José L. Ramírez · Aequationes mathematicae · 2021
Showing 2 of 5 known citations — external sources report more than can currently be individually listed.
Related research
- On the Translated Whitney Numbers and their Combinatorial Properties — shares topic coverage
Article metrics
Real usage data collected on this platform.
16
Page views
0
PDF downloads
0
Outbound clicks
5
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.