A recurrence relation for the Li/Keiper constants in terms of the Stieltjes constants

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A recurrence relation for the Li/Keiper constants in terms of the Stieltjes constants is derived in this paper. In addition, we also report a formula for the Stieltjes constants in terms of the higher derivatives of the Riemann zeta function. A formula for the Stieltjes constants in terms of the (exponential) complete Bell polynomials containing the eta constants as the arguments is also derived.

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Classical Analysis and ODEs, 11M06

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http://salesiana.dossiersoluciones.com/handle/123456789/219285

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.1691
 http://arxiv.org/abs/0902.1691

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arXiv