1. On Cauchy Numbers and Their Generalizations.
- Author
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KARGIN, Levent
- Subjects
- *
GENERATING functions , *GENERALIZATION - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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