Formula:9397

Digital Library of Mathematical Functions ID 29.8.E2

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \mu w(z_{1})w(z_{2})w(z_{3})=\int_{-2\compellintKk@@{k}}^{2\compellintKk@@{k}}\FerrersP[]{\nu}@{x}w(z)\diff{z},}

Symbols List

• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathsf{P}_{\NVar{\nu}}\left(\NVar{x}\right)=\mathsf{P}^{0}_{\nu}\left(x\right)}}$:
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle k}}$: real parameter
• ${\displaystyle{\displaystyle\nu}}$: real parameter
• ${\displaystyle{\displaystyle w(z)}}$: solution
• ${\displaystyle{\displaystyle\mu}}$: μ
 

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