DLMF:18.15.E3 (Q5693)

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DLMF:18.15.E3
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    Statements

    Defining formula
    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}},}}
    0 references
    DLMF id
    DLMF:18.15.E3
    0 references
    Symbols used
    Q10759
    Defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1aadec
    0 references
    Q11744
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C18.S1.XMD4.m1adec
    0 references
    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1bdec
    0 references
     
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