Formula:9755

Digital Library of Mathematical Functions ID 31.10.E12

${\displaystyle{\displaystyle W(z)=\int_{C_{1}}\int_{C_{2}}\mathcal{K}(z;s,t)w(s)w(t)\rho(s,t)\mathrm{d}s\mathrm{d}t}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle C_{1}}}$: contours
• ${\displaystyle{\displaystyle\rho(s,t)}}$: weight function (locally)
• ${\displaystyle{\displaystyle\mathcal{K}(z;s,t)}}$: kernel (locally)
• ${\displaystyle{\displaystyle w}}$: w
 

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