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SOME CARLITZ TYPE IDENTITIES FOR THE BERNOULLI NUMBERS OF THE SECOND KIND

Abstract : 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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https://hal.archives-ouvertes.fr/hal-02536464
Contributor : Jamel Chikhi <>
Submitted on : Wednesday, April 8, 2020 - 10:39:53 AM
Last modification on : Tuesday, April 14, 2020 - 5:42:39 PM

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  • HAL Id : hal-02536464, version 1

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Jamel Chikhi. SOME CARLITZ TYPE IDENTITIES FOR THE BERNOULLI NUMBERS OF THE SECOND KIND. 2020. ⟨hal-02536464⟩

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