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Formula:3901

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Digital Library of Mathematical Functions ID 10.18.E10

( x 2 - ν 2 ) ⁢ M ν ⁡ ( x ) ⁢ M ν ′ ⁡ ( x ) + x 2 ⁢ N ν ⁡ ( x ) ⁢ N ν ′ ⁡ ( x ) + x ⁢ N ν 2 ⁡ ( x ) = 0 . superscript 𝑥 2 superscript 𝜈 2 modulus-Bessel-M 𝜈 𝑥 diffop modulus-Bessel-M 𝜈 1 𝑥 superscript 𝑥 2 modulus-Bessel-N 𝜈 𝑥 diffop modulus-Bessel-N 𝜈 1 𝑥 𝑥 modulus-Bessel-N 𝜈 2 𝑥 0 {\displaystyle{\displaystyle(x^{2}-\nu^{2})M_{\nu}\left(x\right)M_{\nu}'\left(% x\right)+x^{2}N_{\nu}\left(x\right)N_{\nu}'\left(x\right)+x{N_{\nu}^{2}}\left(% x\right)=0.}}


Constraint(s)

Symbols List

  • M ν ⁡ ( x ) modulus-Bessel-M 𝜈 𝑥 {\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}} : modulus of Bessel functions
  • N ν ⁡ ( x ) modulus-Bessel-N 𝜈 𝑥 {\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}} : modulus of derivatives of Bessel functions
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

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