DLMF:13.15.E1 (Q4526)

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DLMF:13.15.E1
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    Statements

    Defining formula
    ( κ - μ - 1 2 ) ⁢ M κ - 1 , μ ⁡ ( z ) + ( z - 2 ⁢ κ ) ⁢ M κ , μ ⁡ ( z ) + ( κ + μ + 1 2 ) ⁢ M κ + 1 , μ ⁡ ( z ) = 0 , 𝜅 𝜇 1 2 Whittaker-confluent-hypergeometric-M 𝜅 1 𝜇 𝑧 𝑧 2 𝜅 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 𝜅 𝜇 1 2 Whittaker-confluent-hypergeometric-M 𝜅 1 𝜇 𝑧 0 {\displaystyle{\displaystyle(\kappa-\mu-\tfrac{1}{2})M_{\kappa-1,\mu}\left(z% \right)+(z-2\kappa)M_{\kappa,\mu}\left(z\right)+(\kappa+\mu+\tfrac{1}{2})M_{% \kappa+1,\mu}\left(z\right)=0,}}
    0 references
    DLMF id
    DLMF:13.15.E1
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    Defining formula
    M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E2.m2adec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1dec
    0 references
     
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