Shifted Cauchy numbers

Komatsu, Takao; Pita-Ruiz, Claudio

doi:10.2989/16073606.2018.1546775

Shifted Cauchy numbers

Journal

Quaestiones Mathematicae

ISSN

1607-3606

1727-933X

Date Issued

2019

Author(s)

Komatsu, Takao

Pita-Ruiz, Claudio

Facultad de Ingeniería - CampCM

Type

text::journal::journal article

DOI

10.2989/16073606.2018.1546775

URL

https://scripta.up.edu.mx/handle/20.500.12552/4064

Abstract

We introduce and study shifted Cauchy numbers as diﬀerent natural extension of the classical Cauchy numbers, in particular, in terms of determinantal expressions. We give several arithmetical or combinatorial properties. We also show a determinant expression of Cauchy numbers of the second kind extensively. © 2019, © 2019 NISC (Pty) Ltd.