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Formula:3173

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Digital Library of Mathematical Functions ID 7.19.E8

𝖡 ⁑ ( x , t ) = x ⁒ 𝖴 ⁑ ( x , t ) + 2 ⁒ t ⁒ βˆ‚ ⁑ 𝖴 ⁑ ( x , t ) βˆ‚ ⁑ x , Voigt-V π‘₯ 𝑑 π‘₯ Voigt-U π‘₯ 𝑑 2 𝑑 partial-derivative Voigt-U π‘₯ 𝑑 π‘₯ {\displaystyle{\displaystyle\mathsf{V}\left(x,t\right)=x\mathsf{U}\left(x,t% \right)+2t\frac{\partial\mathsf{U}\left(x,t\right)}{\partial x},}}


Constraint(s)

Symbols List

  • 𝖴 ⁑ ( x , t ) Voigt-U π‘₯ 𝑑 {\displaystyle{\displaystyle\mathsf{U}\left(\NVar{x},\NVar{t}\right)}} : Voigt function
  • 𝖡 ⁑ ( x , t ) Voigt-V π‘₯ 𝑑 {\displaystyle{\displaystyle\mathsf{V}\left(\NVar{x},\NVar{t}\right)}} : Voigt function
  • 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 $$x$$
  • x π‘₯ {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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