Sharp Bounds for the Harmonic Numbers

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We obtain best possible upper and lower bounds for the Lodge-Ramanujan and DeTemple-Wang approximations to the nth Harmonic Number
7 pages. Typos corrected. Several improvements in the exposition. Considerable strengthening of theorem 3 on the DeTemple-Wang approximation. Updated references, thanks to Dr. Feng Qi

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Classical Analysis and ODEs, 26D15

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http://salesiana.dossiersoluciones.com/handle/123456789/103832

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510585
 http://arxiv.org/abs/math/0510585

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arXiv