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

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T. Komatsu
K´alm´an Liptai
L´aszl´o Szalay

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 clas


sical Bernoulli numbers, respectively.

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