On Cauchy Numbers and Their Generalizations

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Gazi University Journal of Science
Volume:33 Issue:2
On Cauchy Numbers and Their Generalizations

On Cauchy Numbers and Their Generalizations

Pages : 456-474

View : 21 | Download : 9

Publication Date : 2020-06-01

Article Type : Research Paper

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.
Keywords : Cauchy numbers, Poly Cauchy numbers, p Cauchy numbers, Generating function, Recurrence relations

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.