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arXiv · 1606.05115

Legendre-type relations for generalized complete elliptic integrals

Shingo Takeuchi
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Abstract

Legendre's relation for the complete elliptic integrals of the first and second kinds is generalized. The proof depends on an application of the generalized trigonometric functions and is alternative to the proof for Elliott's identity.

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Shingo Takeuchi. 2016-06-16. Legendre-type relations for generalized complete elliptic integrals. https://doi.org/10.7153/jca-09-04

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