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Formula:10106

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Digital Library of Mathematical Functions ID 32.10.E14

ϕ ⁢ ( z ) = z ν ⁢ ( C 1 ⁢ J ν ⁡ ( ζ ) + C 2 ⁢ Y ν ⁡ ( ζ ) ) , italic-ϕ 𝑧 superscript 𝑧 𝜈 subscript 𝐶 1 Bessel-J 𝜈 𝜁 subscript 𝐶 2 Bessel-Y-Weber 𝜈 𝜁 {\displaystyle{\displaystyle\phi(z)=z^{\nu}\left(C_{1}J_{\nu}\left(\zeta\right% )+C_{2}Y_{\nu}\left(\zeta\right)\right),}}


Constraint(s)

Symbols List

  • J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}} : Bessel function of the first kind
  • Y ν ⁡ ( z ) Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}} : Bessel function of the second kind
  • z 𝑧 {\displaystyle{\displaystyle z}} : real
  • ϕ ⁢ ( z ) italic-ϕ 𝑧 {\displaystyle{\displaystyle\phi(z)}} : function
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : ν
  • C j subscript 𝐶 𝑗 {\displaystyle{\displaystyle C_{j}}} : constants
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This page was last edited on 28 January 2024, at 10:30.
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