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Formula:4632

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Digital Library of Mathematical Functions ID 11.4.E3

𝐇 - n - 1 2 ⁑ ( z ) = ( - 1 ) n ⁒ J n + 1 2 ⁑ ( z ) , Struve-H 𝑛 1 2 𝑧 superscript 1 𝑛 Bessel-J 𝑛 1 2 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{-n-\frac{1}{2}}\left(z\right)=(-1)^{n}% J_{n+\frac{1}{2}}\left(z\right),}}


Constraint(s)

Symbols List

  • J Ξ½ ⁑ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}} : Bessel function of the first kind
  • 𝐇 Ξ½ ⁑ ( z ) Struve-H 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}} : Struve function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer order
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This page was last edited on 28 January 2024, at 10:30.
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