Modular lambda function: Difference between revisions

Revision as of 16:16, 12 May 2021

Revision as of 14:54, 2 July 2021

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In this formula, dn is the [[Jacobi elliptic function]] delta amplitudinis.

By knowing one λ*-value, this formula can be used to computatecompute related λ*-values:

:<math>\lambda^*(n^2x) = \lambda^*(x)^n\prod_{a=1}^{n}\operatorname{sn}\left\{\frac{2a-1}{n}K[\lambda^*(x)];\lambda^*(x)\right\}^2 </math>