Formula:9428

Digital Library of Mathematical Functions ID 29.14.E2

${\displaystyle{\displaystyle\langle g,h\rangle=\int_{0}^{K}\!\!\int_{0}^{{K^{\prime}}}w(s,t)g(s,t)h(s,t)\mathrm{d}t\mathrm{d}s,}}$

Symbols List

• ${\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}$: Legendre’s complementary complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle k}}$: real parameter
• ${\displaystyle{\displaystyle w(s,t)}}$: function
 

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