SOME RELATIONSHIPS BETWEEN POLY-CAUCHY TYPE NUMBERS AND POLY-BERNOULLI TYPE NUMBERS

  • T. Komatsu
  • K´alm´an Liptai
  • L´aszl´o Szalay
Keywords: poly-Cauchy numbers, poly-Bernoulli numbers, poly-Cauchy type numbers, poly-Bernoulli type numbers, Cauchy numbers, Bernoulli numbers

Abstract

In this paper, we show some relationships between poly-Cauchy type numbers and poly-Bernoulli type numbers. Poly-Cauchy type numbers include poly-Cauchy numbers introduced by T. Komatsu, and poly-Bernoulli type numbers include poly-Bernoulli numbers introduced by M. Kaneko. Both numbers are generalizations of classical Cauchy numbers and classical Bernoulli numbers, respectively.

Published
2020-02-07