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Formula:4384

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Digital Library of Mathematical Functions ID 10.47.E15

𝗁 n ( 2 ) ⁑ ( - z ) = ( - 1 ) n ⁒ 𝗁 n ( 1 ) ⁑ ( z ) . spherical-Hankel-H-2-Bessel-third-kind 𝑛 𝑧 superscript 1 𝑛 spherical-Hankel-H-1-Bessel-third-kind 𝑛 𝑧 {\displaystyle{\displaystyle\displaystyle{\mathsf{h}^{(2)}_{n}}\left(-z\right)% =(-1)^{n}{\mathsf{h}^{(1)}_{n}}\left(z\right).}}


Constraint(s)

Symbols List

  • 𝗁 n ( 1 ) ⁑ ( z ) spherical-Hankel-H-1-Bessel-third-kind 𝑛 𝑧 {\displaystyle{\displaystyle{\mathsf{h}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}} : spherical Bessel function of the third kind
  • 𝗁 n ( 2 ) ⁑ ( z ) spherical-Hankel-H-2-Bessel-third-kind 𝑛 𝑧 {\displaystyle{\displaystyle{\mathsf{h}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}} : spherical Bessel function of the third kind
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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