Several explicit formulae of Cauchy polynomials in terms of $${r}$$ r -Stirling numbers

Abstract

The integer values of Cauchy polynomials are expressed in terms of $${r}$$ -Stirling numbers of the first kind. Several relations between the integral values of Bernoulli polynomials and those of Cauchy polynomials are obtained in terms of $${r}$$ -Stirling numbers of both kinds. Also, we find a relation between the Cauchy polynomials and hyperharmonic numbers.