000168370 001__ 168370 000168370 005__ 20260204153543.0 000168370 0247_ $$2doi$$a10.1556/012.2025.04341 000168370 0248_ $$2sideral$$a147827 000168370 037__ $$aART-2025-147827 000168370 041__ $$aeng 000168370 100__ $$0(orcid)0000-0001-8331-5160$$aAdell, José A.$$uUniversidad de Zaragoza 000168370 245__ $$a-Stirling Numbers Associated to Potential Polynomials 000168370 260__ $$c2025 000168370 5203_ $$aWe introduce the -Stirling numbers of the first and second kinds, which are the coefficients of the potential polynomials when we express them in terms of the monomials and the falling factorials, respectively. These numbers include, as particular cases, the partial and complete Bell polynomials, the degenerate and probabilistic Stirling numbers, and the -restricted Stirling numbers, among others. Special attention is devoted to the computation of such numbers. On the one hand, a recursive formula is provided. On the other hand, we can compute Stirling numbers of one kind in terms of the other, with the help of the classical Stirling numbers. 000168370 540__ $$9info:eu-repo/semantics/closedAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000168370 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000168370 700__ $$aBényi, Beáta 000168370 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera. 000168370 773__ $$g62, 4 (2025), 382-398$$pStud. Sci. Math. Hung.$$tSTUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA$$x0081-6906 000168370 8564_ $$s1368226$$uhttps://zaguan.unizar.es/record/168370/files/texto_completo.pdf$$yVersión publicada 000168370 8564_ $$s957710$$uhttps://zaguan.unizar.es/record/168370/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000168370 909CO $$ooai:zaguan.unizar.es:168370$$particulos$$pdriver 000168370 951__ $$a2026-02-04-13:14:41 000168370 980__ $$aARTICLE