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Formula:6511

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Digital Library of Mathematical Functions ID 18.18.E24

b n , ℓ = ( n ℓ ) ⁢ ( n + α + β + 1 ) ℓ ⁢ ( - β - n ) n - ℓ 2 ℓ ⁢ ( α + 1 ) n , subscript 𝑏 𝑛 ℓ binomial 𝑛 ℓ Pochhammer 𝑛 𝛼 𝛽 1 ℓ Pochhammer 𝛽 𝑛 𝑛 ℓ superscript 2 ℓ Pochhammer 𝛼 1 𝑛 {\displaystyle{\displaystyle b_{n,\ell}=\genfrac{(}{)}{0.0pt}{}{n}{\ell}\frac{% {\left(n+\alpha+\beta+1\right)_{\ell}}{\left(-\beta-n\right)_{n-\ell}}}{2^{% \ell}{\left(\alpha+1\right)_{n}}},}}


Constraint(s)

Symbols List

  • ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}} :
  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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This page was last edited on 28 January 2024, at 10:30.
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