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Formula:9759

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Digital Library of Mathematical Functions ID 31.10.E16

p ⁒ ( s ) ⁒ ( βˆ‚ ⁑ 𝒦 βˆ‚ ⁑ s ⁒ w ⁒ ( s ) - 𝒦 ⁒ d w ⁒ ( s ) d s ) | C 2 = 0 , evaluated-at 𝑝 𝑠 partial-derivative 𝒦 𝑠 𝑀 𝑠 𝒦 derivative 𝑀 𝑠 𝑠 subscript 𝐢 2 0 {\displaystyle{\displaystyle\left.p(s)\left(\frac{\partial\mathcal{K}}{% \partial s}w(s)-\mathcal{K}\frac{\mathrm{d}w(s)}{\mathrm{d}s}\right)\right|_{C% _{2}}=0,}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 π‘₯ {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • βˆ‚ ⁑ f βˆ‚ ⁑ x partial-derivative 𝑓 π‘₯ {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}} : partial derivative of $$f$$ with respect to $$x$$
  • βˆ‚ ⁑ x π‘₯ {\displaystyle{\displaystyle\partial\NVar{x}}} : partial differential of $$x$$
  • C 1 subscript 𝐢 1 {\displaystyle{\displaystyle C_{1}}} : contours
  • 𝒦 ⁒ ( z ; s , t ) 𝒦 𝑧 𝑠 𝑑 {\displaystyle{\displaystyle\mathcal{K}(z;s,t)}} : kernel (locally)
  • w 𝑀 {\displaystyle{\displaystyle w}} : w
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