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Formula:3616

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Digital Library of Mathematical Functions ID 9.11.E11

∫ 1 w 1 2 ⁢ f ′ ⁢ ( w 2 w 1 ) ⁢ d z = 1 𝒲 ⁡ { w 1 , w 2 } ⁢ f ⁢ ( w 2 w 1 ) . 1 superscript subscript 𝑤 1 2 superscript 𝑓 ′ subscript 𝑤 2 subscript 𝑤 1 𝑧 1 Wronskian subscript 𝑤 1 subscript 𝑤 2 𝑓 subscript 𝑤 2 subscript 𝑤 1 {\displaystyle{\displaystyle\int\frac{1}{w_{1}^{2}}f^{\prime}\!\left(\frac{w_{% 2}}{w_{1}}\right)\mathrm{d}z=\frac{1}{\mathscr{W}\left\{w_{1},w_{2}\right\}}f% \left(\frac{w_{2}}{w_{1}}\right).}}


Constraint(s)

Symbols List

  • 𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}} : Wronskian
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • w 𝑤 {\displaystyle{\displaystyle w}} : function
  • f 𝑓 {\displaystyle{\displaystyle f}} : function
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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