Recurrence relations for a family of generalized Cauchy numbers

J Chikhi (1)

1 LaMME - Laboratoire de Mathématiques et Modélisation d'Evry

We obtain, for a two parameters family of generalized Cauchy numbers, two sorts of recurrence relations. The first recurrences are especially adapted to the so called shifted poly-Cauchy numbers. The second relations are generalization of the recurrences obtained by Agoh and Dilcher for the Bernoulli numbers of the second kind.

Mots clés: generalized Cauchy numbers; Bernoulli numbers of the second kind; Stirling numbers; recurrences

Domaines: Mathématiques [math]

J Chikhi. Recurrence relations for a family of generalized Cauchy numbers. 2016. ⟨hal-01390020⟩