Abstract
We present a very natural generalization of the Arakawa–Kaneko zeta function introduced ten years ago by T. Arakawa and M. Kaneko. We give in particular a new expression of the special values of this function at integral points in terms of modified Bell polynomials. By rewriting Ohno’s sum formula, we are able to deduce a new class of relations between Euler sums and the values of zeta.
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Coppo, MA., Candelpergher, B. The Arakawa–Kaneko zeta function. Ramanujan J 22, 153–162 (2010). https://doi.org/10.1007/s11139-009-9205-x
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DOI: https://doi.org/10.1007/s11139-009-9205-x