Formula:9499

Digital Library of Mathematical Functions ID 29.18.E6

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

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 $$x$$
• ${\displaystyle{\displaystyle h}}$: real parameter
• ${\displaystyle{\displaystyle k}}$: real parameter
• ${\displaystyle{\displaystyle\nu}}$: real parameter
• ${\displaystyle{\displaystyle\beta}}$: sphero-conal coordinate
• ${\displaystyle{\displaystyle u_{j}}}$: solutions
 

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