Abstract
In this paper, we derive some series for \(\frac{1}{\pi}\) and \(\frac{1}{\pi^{2}}\) from the Fourier–Legendre expansions of odd powers of \(\sqrt{1-x^{2}}\).
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Levrie, P. Using Fourier–Legendre expansions to derive series for \(\frac{1}{\pi}\) and \(\frac{1}{\pi^{2}}\) . Ramanujan J 22, 221–230 (2010). https://doi.org/10.1007/s11139-010-9222-9
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DOI: https://doi.org/10.1007/s11139-010-9222-9