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Formula:3904

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Digital Library of Mathematical Functions ID 10.18.E13

x 2 ⁢ M ν ′′ ⁡ ( x ) + x ⁢ M ν ′ ⁡ ( x ) + ( x 2 - ν 2 ) ⁢ M ν ⁡ ( x ) = 4 π 2 ⁢ M ν 3 ⁢ ( x ) , superscript 𝑥 2 diffop modulus-Bessel-M 𝜈 2 𝑥 𝑥 diffop modulus-Bessel-M 𝜈 1 𝑥 superscript 𝑥 2 superscript 𝜈 2 modulus-Bessel-M 𝜈 𝑥 4 superscript 𝜋 2 modulus-Bessel-M 𝜈 3 𝑥 {\displaystyle{\displaystyle x^{2}M_{\nu}''\left(x\right)+xM_{\nu}'\left(x% \right)+(x^{2}-\nu^{2})M_{\nu}\left(x\right)=\frac{4}{\pi^{2}{{M_{\nu}^{3}}(x)% }},}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • M ν ⁡ ( x ) modulus-Bessel-M 𝜈 𝑥 {\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}} : modulus of Bessel functions
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
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This page was last edited on 3 March 2024, at 01:55.
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