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Formula:3875

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Digital Library of Mathematical Functions ID 10.17.E8

b k ⁢ ( ν ) = ( ( 4 ⁢ ν 2 - 1 2 ) ⁢ ( 4 ⁢ ν 2 - 3 2 ) ⁢ ⋯ ⁢ ( 4 ⁢ ν 2 - ( 2 ⁢ k - 3 ) 2 ) ) ⁢ ( 4 ⁢ ν 2 + 4 ⁢ k 2 - 1 ) k ! ⁢ 8 k . subscript 𝑏 𝑘 𝜈 4 superscript 𝜈 2 superscript 1 2 4 superscript 𝜈 2 superscript 3 2 ⋯ 4 superscript 𝜈 2 superscript 2 𝑘 3 2 4 superscript 𝜈 2 4 superscript 𝑘 2 1 𝑘 superscript 8 𝑘 {\displaystyle{\displaystyle b_{k}(\nu)=\frac{\left((4\nu^{2}-1^{2})(4\nu^{2}-% 3^{2})\cdots(4\nu^{2}-(2k-3)^{2})\right)(4\nu^{2}+4k^{2}-1)}{k!8^{k}}.}}


Constraint(s)

Symbols List

  • ! {\displaystyle{\displaystyle!}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
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This page was last edited on 3 March 2024, at 01:55.
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