Legendre-type relations for generalized complete elliptic integrals

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Publication:4627812

DOI10.7153/JCA-09-04zbMATH Open1424.33034arXiv1606.05115OpenAlexW2441489216MaRDI QIDQ4627812

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Publication date: 5 March 2019

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1606.05115



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