New series for the cosine lemniscate fun
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John P. Boyd
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Article
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2011
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Elsevier Science
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English
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We discuss the numerical computation of the cosine lemniscate function and its inverse, the lemniscate integral. These were previously studied by Bernoulli, Euler, Gauss, Abel, Jacobi and Ramanujan. We review general elliptic formulas for this special case and provide some novelties. We show that a