Formula:9413

Digital Library of Mathematical Functions ID 29.11.E1

${\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+(h-\nu(\nu+1)k^{2}{\operatorname{sn}^{2}}\left(z,k\right)+k^{2}\omega^{2}{\operatorname{sn}^{4}}\left(z,k\right))w=0,}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle h}}$: real parameter
• ${\displaystyle{\displaystyle k}}$: real parameter
• ${\displaystyle{\displaystyle\nu}}$: real parameter
• ${\displaystyle{\displaystyle\omega}}$: parameter
• ${\displaystyle{\displaystyle w(z)}}$: solution
 

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