Legendre-type relations for generalized complete elliptic integrals
Classical Analysis and ODEs
2020-03-25 v2
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.
Cite
@article{arxiv.1606.05115,
title = {Legendre-type relations for generalized complete elliptic integrals},
author = {Shingo Takeuchi},
journal= {arXiv preprint arXiv:1606.05115},
year = {2020}
}
Comments
10 pages