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DLMF:9.11.E10

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Formula:3615
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MaRDI QIDQ3615

  • Label: DLMF:9.11.E10


Digital Library of Mathematical Functions ID 9.11.E10

∫ z ⁢ w 1 ′ ⁢ w 2 ′ ⁢ d z = 3 10 ⁢ ( - w 1 ⁢ w 2 + z ⁢ w 1 ⁢ w 2 ′ + z ⁢ w 1 ′ ⁢ w 2 ) + 1 5 ⁢ ( z 2 ⁢ w 1 ′ ⁢ w 2 ′ - z 3 ⁢ w 1 ⁢ w 2 ) . 𝑧 subscript superscript 𝑤 ′ 1 subscript superscript 𝑤 ′ 2 𝑧 3 10 subscript 𝑤 1 subscript 𝑤 2 𝑧 subscript 𝑤 1 subscript superscript 𝑤 ′ 2 𝑧 subscript superscript 𝑤 ′ 1 subscript 𝑤 2 1 5 superscript 𝑧 2 subscript superscript 𝑤 ′ 1 subscript superscript 𝑤 ′ 2 superscript 𝑧 3 subscript 𝑤 1 subscript 𝑤 2 {\displaystyle{\displaystyle\int zw^{\prime}_{1}w^{\prime}_{2}\mathrm{d}z=% \tfrac{3}{10}(-w_{1}w_{2}+zw_{1}w^{\prime}_{2}+zw^{\prime}_{1}w_{2})+\tfrac{1}% {5}(z^{2}w^{\prime}_{1}w^{\prime}_{2}-z^{3}w_{1}w_{2}).}}


Constraint(s)

Symbols List

  • 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
  •  Edit this on Wikidata

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