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Formula:3868

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Digital Library of Mathematical Functions ID 10.17.E1

a k ⁢ ( ν ) = ( 4 ⁢ ν 2 - 1 2 ) ⁢ ( 4 ⁢ ν 2 - 3 2 ) ⁢ ⋯ ⁢ ( 4 ⁢ ν 2 - ( 2 ⁢ k - 1 ) 2 ) k ! ⁢ 8 k , subscript 𝑎 𝑘 𝜈 4 superscript 𝜈 2 superscript 1 2 4 superscript 𝜈 2 superscript 3 2 ⋯ 4 superscript 𝜈 2 superscript 2 𝑘 1 2 𝑘 superscript 8 𝑘 {\displaystyle{\displaystyle a_{k}(\nu)=\frac{(4\nu^{2}-1^{2})(4\nu^{2}-3^{2})% \cdots(4\nu^{2}-(2k-1)^{2})}{k!8^{k}},}}


Constraint(s)

k ≥ 1 𝑘 1 {\displaystyle{\displaystyle k\geq 1}}

Symbols List

  • ! {\displaystyle{\displaystyle!}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:55.
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