INTEGRAL REPRESENTATION FOR SOME GENERALIZED POLY-CAUCHY NUMBERS

J Chikhi (1)

1 LaMME - Laboratoire de Mathématiques et Modélisation d'Evry

In this note, we establish an integral representation for a special function E_{s,α} (z) and apply it to some generalized poly-Cauchy numbers c^(s)_{n,α} generated by the function E_{s,α} (log(1 + t)). We recover, in the special case α = s = 1, the integral representation of the Bernoulli numbers of the second kind obtained by Feng Qi by quite different methods.

Domaines: Mathématiques [math]

J Chikhi. INTEGRAL REPRESENTATION FOR SOME GENERALIZED POLY-CAUCHY NUMBERS. 2016. ⟨hal-01370757⟩