Infinite series identities involving quadratic and cubic harmonic numbers

• Autores: Xiaoyuan Wang, Wenchang Chu
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 62, Nº 1, 2018, págs. 285-300
• Idioma: inglés
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• Resumen

  • By means of the modified Abel lemma on summation by parts, we investigate infinite series involving quadratic and cubic harmonic numbers. Several infinite series identities are established for π 2 and ζ(3) as consequences.