Article

Shifted Cauchy numbers

Published in: Quaestiones Mathematicae
Volume 43 , issue 2 , 2020 , pages: 213–226

DOI: 10.2989/16073606.2018.1546775

Author(s): Takao Komatsu School of Mathematics and Statistics, China , Claudio Pita-Ruiz Universidad Panamericana, México

Keywords: Primary 11B75 , Secondary 11B37 , 11C20 , 05A15 , 05A19 , Primary 11B75 , Secondary 11B37 , 11C20 , 05A15 , 05A19

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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.

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