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- Title
On Cauchy Numbers and Their Generalizations.
- Authors
KARGIN, Levent
- Abstract
This paper is concerned with both kinds of the Cauchy numbers and their generalizations. Taking into account Mellin derivative, we relate p-Cauchy numbers of the second kind with shifted Cauchy numbers of the first kind, which yields new explicit formulas for the Cauchy numbers of the both kind. We introduce a generalization of the Cauchy numbers and investigate several properties, including recurrence relations, convolution identities and generating functions. In particular, these results give rise to new identities for Cauchy numbers.
- Subjects
GENERATING functions; GENERALIZATION
- Publication
Gazi University Journal of Science, 2020, Vol 33, Issue 2, p456
- ISSN
1303-9709
- Publication type
Article
- DOI
10.35378/gujs.604550