interrelations

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21: 19.25 Relations to Other Functions

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19.25.28 $$\mathrm{\Delta }(\mathrm{p},\mathrm{q})={\mathrm{p}\mathrm{s}}^2(u,k)-{\mathrm{q}\mathrm{s}}^2(u,k)=-\mathrm{\Delta }(\mathrm{q},\mathrm{p}),$$

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Defines:

$\mathrm{\Delta }(\mathrm{p},\mathrm{q})$: function (locally)

Symbols:

$\mathrm{p}\mathrm{q}(z,k)$: generic Jacobian elliptic function and $k$: real or complex modulus

Permalink:

http://dlmf.nist.gov/19.25.E28

Encodings:

pMML, png, TeX

See also:

Annotations for §19.25(v), §19.25 and Ch.19

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