Cubic and quartic series with the tail of \(\ln 2\)

Ovidiu Furdui; Alina Sîntămărian

doi:10.56754/0719-0646.2501.089

DOI:

https://doi.org/10.56754/0719-0646.2501.089

Abstract

In this paper we calculate some remarkable cubic and quartic series involving the tail of \(\ln 2\). We also evaluate several linear and quadratic series with the tail of \(\ln 2\).

Keywords

Abel’s summation formula , cubic series , quartic series , tail of ln 2

Mathematics Subject Classification:

40A05 , 40C10

Ovidiu Furdui Department of Mathematics Technical University of Cluj-Napoca Str. Memorandumului Nr. 28, 400114 Cluj-Napoca, Romania. https://orcid.org/0000-0002-3259-7740
Alina Sîntămărian Department of Mathematics Technical University of Cluj-Napoca Str. Memorandumului Nr. 28, 400114 Cluj-Napoca, Romania. https://orcid.org/0000-0003-3105-1778

Pages: 89–101
Date Published: 2023-04-24
Vol. 25 No. 1 (2023)

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