Cubic and quartic series with the tail of \(\ln 2\)
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Ovidiu Furdui
ovidiu.furdui@math.utcluj.ro
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Alina Sîntămărian
alina.sintamarian@math.utcluj.ro
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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 \(\ln 2\).
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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.
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