Some carlitz type identities for the Bernoulli number of the second kind
Résumé
In this short note, we obtain some identities for the Bernoulli numbers of the second kind. They are similar to the Carlitz's type recurrence relations for the (ordinary) Bernoulli numbers, in convolution symbolic notation, (−1)^m (B n + 1)^m = (−1)^n (B m + 1)^n. The proof is quite simple and uses the method of generating functions.
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