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Formula:758

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Digital Library of Mathematical Functions ID 2.5.E12

a n = 2 n - 1 ⁢ Γ ⁡ ( ν + 1 2 ⁢ n ) Γ 2 ⁡ ( 1 - 1 2 ⁢ n ) ⁢ Γ ⁡ ( 1 + ν - 1 2 ⁢ n ) ⁢ Γ ⁡ ( n ) , subscript 𝑎 𝑛 superscript 2 𝑛 1 Euler-Gamma 𝜈 1 2 𝑛 Euler-Gamma 2 1 1 2 𝑛 Euler-Gamma 1 𝜈 1 2 𝑛 Euler-Gamma 𝑛 {\displaystyle{\displaystyle a_{n}=\frac{2^{n-1}\Gamma\left(\nu+\tfrac{1}{2}n% \right)}{{\Gamma^{2}}\left(1-\tfrac{1}{2}n\right)\Gamma\left(1+\nu-\tfrac{1}{2% }n\right)\Gamma\left(n\right)},}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}} : coefficients
  •  Edit this on Wikidata

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