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On the analytic extension of Stirling numbers of the first kind.
- Source :
- Journal of Difference Equations & Applications; Sep2010, Vol. 16 Issue 9, p1101-1120, 20p
- Publication Year :
- 2010
-
Abstract
- We present an analytic extension of the unsigned Stirling numbers of the first kind that is in a certain sense unique in its coincidence with the Stirling polynomials. We examine and compare our extension to previous extensions of (signed) Stirling numbers of the first kind given by Butzer et al. (2007, J. Difference Equ. Appl., 13) and of the unsigned numbers given by Adamchik (1997, J. Comput. Appl. Math., 79). We also see a connection to the Riemann zeta function. [ABSTRACT FROM AUTHOR]
- Subjects :
- POLYNOMIALS
MATHEMATICAL functions
MATHEMATICS
EXTENSION (Philosophy)
COINCIDENCE
Subjects
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 16
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 52889588
- Full Text :
- https://doi.org/10.1080/10236190902780190