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Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers
- Publication Year :
- 2015
-
Abstract
- By using the associated and restricted Stirling numbers of the second kind, we give some generalizations of the poly-Bernoulli numbers. We also study their arithmetical and combinatorial properties. As an application, at the end of the paper we present a new infinite series representation of the Riemann zeta function via the Lambert $W$.
- Subjects :
- Mathematics - Number Theory
11B73, 05A18
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1510.05799
- Document Type :
- Working Paper