DLMF:13.25.E1 (Q4652)

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DLMF:13.25.E1
No description defined

    Statements

    Defining formula
    M κ , μ ⁡ ( z ) ⁢ M κ , - μ - 1 ⁡ ( z ) + ( 1 2 + μ + κ ) ⁢ ( 1 2 + μ - κ ) 4 ⁢ μ ⁢ ( 1 + μ ) ⁢ ( 1 + 2 ⁢ μ ) 2 ⁢ M κ , μ + 1 ⁡ ( z ) ⁢ M κ , - μ ⁡ ( z ) = 1 . Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 1 𝑧 1 2 𝜇 𝜅 1 2 𝜇 𝜅 4 𝜇 1 𝜇 superscript 1 2 𝜇 2 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 1 𝑧 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 1 {\displaystyle{\displaystyle M_{\kappa,\mu}\left(z\right)M_{\kappa,-\mu-1}% \left(z\right)+\frac{(\frac{1}{2}+\mu+\kappa)(\frac{1}{2}+\mu-\kappa)}{4\mu(1+% \mu)(1+2\mu)^{2}}M_{\kappa,\mu+1}\left(z\right)M_{\kappa,-\mu}\left(z\right)=1% .}}
    0 references
    DLMF id
    DLMF:13.25.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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