Cubic and quartic series with the tail of \(\ln 2\)
- Ovidiu Furdui ovidiu.furdui@math.utcluj.ro
- Alina Sîntămărian alina.sintamarian@math.utcluj.ro
Downloads
DOI:
https://doi.org/10.56754/0719-0646.2501.089Abstract
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
Mathematics Subject Classification:
B. C. Berndt, Ramanujan’s notebooks. Part I, New York: Springer-Verlag, 1985.
K. N. Boyadzhiev, “Power series with skew-harmonic numbers, dilogarithms, and double integrals”, Tatra Mt. Math. Publ., vol. 56, no. 1, pp. 93–108, 2013.
O. Furdui, Limits, Series and Fractional Part Integrals, Problems in Mathematical Analysis, New York: Springer, 2013.
O. Furdui and A. Sîntamărian, “Alternating quadratic and cubic series with the tail of ln 2”, Creat. Math. Inform., to be published.
A. Sîntamărian and O. Furdui, Sharpening mathematical analysis skills, Problem Books in Mathematics, Cham: Springer, 2021.
Most read articles by the same author(s)
- Alina Sîntamarian, Euler's constant, new classes of sequences and estimates , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 O. Furdui et al.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.