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DLMF:29.18.E5

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Formula:9498
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MaRDI QIDQ9498

  • Label: DLMF:29.18.E5


Digital Library of Mathematical Functions ID 29.18.E5

d d r ⁡ ( r 2 ⁢ d u 1 d r ) + ( ω 2 ⁢ r 2 - ν ⁢ ( ν + 1 ) ) ⁢ u 1 = 0 , derivative 𝑟 superscript 𝑟 2 derivative subscript 𝑢 1 𝑟 superscript 𝜔 2 superscript 𝑟 2 𝜈 𝜈 1 subscript 𝑢 1 0 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}r}\left(r^{2}\frac{% \mathrm{d}u_{1}}{\mathrm{d}r}\right)+(\omega^{2}r^{2}-\nu(\nu+1))u_{1}=0,}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : real parameter
  • ω 𝜔 {\displaystyle{\displaystyle\omega}} : parameter
  • r 𝑟 {\displaystyle{\displaystyle r}} : sphero-conal coordinate
  • u j subscript 𝑢 𝑗 {\displaystyle{\displaystyle u_{j}}} : solutions
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