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Formula:4444

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Digital Library of Mathematical Functions ID 10.52.E1

𝗃 n ⁑ ( z ) , 𝗂 n ( 1 ) ⁑ ( z ) ∼ z n / ( 2 ⁒ n + 1 ) !! , asymptotically-equals spherical-Bessel-J 𝑛 𝑧 spherical-Bessel-I-1 𝑛 𝑧 superscript 𝑧 𝑛 double-factorial 2 𝑛 1 {\displaystyle{\displaystyle\mathsf{j}_{n}\left(z\right),{\mathsf{i}^{(1)}_{n}% }\left(z\right)\sim z^{n}/(2n+1)!!,}}


Constraint(s)

Symbols List

  • ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}} : asymptotic equality
  • !! double-factorial {\displaystyle{\displaystyle!!}} :
  • 𝗂 n ( 1 ) ⁑ ( z ) spherical-Bessel-I-1 𝑛 𝑧 {\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}} : modified spherical Bessel function
  • 𝗃 n ⁑ ( z ) spherical-Bessel-J 𝑛 𝑧 {\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}} : spherical Bessel function of the first kind
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:59.
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