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DLMF:10.13.E6

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Formula:3829
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MaRDI QIDQ3829

  • Label: DLMF:10.13.E6


Digital Library of Mathematical Functions ID 10.13.E6

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


Constraint(s)

w = 𝒞 ν ⁡ ( λ ⁢ e z ) 𝑤 cylinder-function 𝜈 𝜆 superscript 𝑒 𝑧 {\displaystyle{\displaystyle w=\mathscr{C}_{\nu}\left(\lambda e^{z}\right)}}

Symbols List

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

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