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Formula:3830

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Digital Library of Mathematical Functions ID 10.13.E7

z 2 ⁢ ( z 2 - ν 2 ) ⁢ w ′′ + z ⁢ ( z 2 - 3 ⁢ ν 2 ) ⁢ w ′ + ( ( z 2 - ν 2 ) 2 - ( z 2 + ν 2 ) ) ⁢ w = 0 , superscript 𝑧 2 superscript 𝑧 2 superscript 𝜈 2 superscript 𝑤 ′′ 𝑧 superscript 𝑧 2 3 superscript 𝜈 2 superscript 𝑤 ′ superscript superscript 𝑧 2 superscript 𝜈 2 2 superscript 𝑧 2 superscript 𝜈 2 𝑤 0 {\displaystyle{\displaystyle z^{2}(z^{2}-\nu^{2})w^{\prime\prime}+z(z^{2}-3\nu% ^{2})w^{\prime}+((z^{2}-\nu^{2})^{2}-(z^{2}+\nu^{2}))w=0,}}


Constraint(s)

w = 𝒞 ν ′ ⁡ ( z ) 𝑤 diffop cylinder-function 𝜈 1 𝑧 {\displaystyle{\displaystyle w=\mathscr{C}_{\nu}'\left(z\right)}}

Symbols List

  • 𝒞 ν ⁡ ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}} : cylinder function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

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