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17: 31.10 Integral Equations and Representations

… ►

Kernel Functions

… ►where $\sigma$ is a separation constant. … ►

31.10.19 $$𝒦(u,v,w)=u^{1-\gamma }{v}^{1-\delta }{w}^{1-ϵ}{𝒞}_{1-\gamma }\left(u\sqrt{{\sigma }_1}\right){𝒞}_{1-\delta }\left(v\sqrt{{\sigma }_2}\right){𝒞}_{1-ϵ}\left(\mathrm{i}w\sqrt{{\sigma }_1+{\sigma }_2}\right),$$

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Symbols:

${𝒞}_{\nu }\left(z\right)$: cylinder function, $\mathrm{i}$: imaginary unit, $\gamma$: real or complex parameter, $\delta$: real or complex parameter, $ϵ$: real or complex parameter, $𝒦(z;s,t)$: kernel, $u$ , $v$ , $w$ and ${\sigma }_1$, ${\sigma }_2$: separation constants

Permalink:

http://dlmf.nist.gov/31.10.E19

Encodings:

pMML, png, TeX

See also:

Annotations for §31.10(ii), §31.10(ii), §31.10 and Ch.31

►where ${\sigma }_1$ and ${\sigma }_2$ are separation constants. … ►and ${\sigma }_1$ and ${\sigma }_2$ are separation constants. …

18: 5.24 Software

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19: 6.21 Software

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20: 9.20 Software

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