Journal
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Volume 113, Issue 2, Pages 1159-1171Publisher
SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s13398-018-0540-x
Keywords
Extended Stirling numbers of the first kind; Daehee numbers; Daehee polynomials; Daehee-Stirling numbers of the first kind
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In this paper, we study the extended Stirling numbers of the first kind which have close connection with the r-Stirling numbers of the first kind and generalize the usual Stirling numbers of the first kind. We derive recurrence relations for those numbers and show their connections with the Stirling numbers of the first kind, higher-order Daehee polynomials and Bell polynomials. In addition, we introduce Daehee-Stirling numbers of the first kind and deduce their connections with the extended Stirling numbers of the first kind and r-Whitney numbers.
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