Relationship Among Binomial Coefficients, Bernoulli Numbers, and Stirling Numbers

Dohan Kim1, Eun Gu Lee2
1DEPARTMENT OF MATHEMATICS, SEOUL NATIONAL UNIVERSITY, GWANAK-RO 1, GWANAK-GU, SEOUL 151-747, KOREA
2DEPARTMENT OF E-BUSINESS, DONGYANG MIRAE UNIVERSITY, GYEONGIN-RO 445, GURO-GU, SEOUL 152-714, KOREA

Abstract

We give relationships among the binomial coefficients, the Bemoulli numbers and the Stirling numbers, These relations are derived from the translation formulae in the linear discrete systems in Shin-Naito \([8]\).