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Formula:6390

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Digital Library of Mathematical Functions ID 18.15.E3

C m , ℓ ⁢ ( α , β ) = ( 1 2 + α ) ℓ ⁢ ( 1 2 - α ) ℓ ⁢ ( 1 2 + β ) m - ℓ ⁢ ( 1 2 - β ) m - ℓ , subscript 𝐶 𝑚 ℓ 𝛼 𝛽 Pochhammer 1 2 𝛼 ℓ Pochhammer 1 2 𝛼 ℓ Pochhammer 1 2 𝛽 𝑚 ℓ Pochhammer 1 2 𝛽 𝑚 ℓ {\displaystyle{\displaystyle C_{m,\ell}(\alpha,\beta)={\left(\tfrac{1}{2}+% \alpha\right)_{\ell}}{\left(\tfrac{1}{2}-\alpha\right)_{\ell}}{\left(\tfrac{1}% {2}+\beta\right)_{m-\ell}}{\left(\tfrac{1}{2}-\beta\right)_{m-\ell}},}}


Constraint(s)

Symbols List

  • ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}} :
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : nonnegative integer
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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