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Some double-angle formulas related to a generalized lemniscate function

Ramanujan Journal (2021) 56(2) 753-761
DOI: 10.1007/s11139-021-00395-x
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Abstract

In this paper, we will establish some double-angle formulas related to the inverse function of ∫0xdt/1-t6. This function appears in Ramanujan’s Notebooks and is regarded as a generalized version of the lemniscate function.

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Takeuchi, S. (2021). Some double-angle formulas related to a generalized lemniscate function. Ramanujan Journal, 56(2), 753–761. https://doi.org/10.1007/s11139-021-00395-x

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