DLMF:13.15.E7 (Q4532)

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DLMF:13.15.E7
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    test
    2 ⁢ μ ⁢ ( 1 + 2 ⁢ μ ) ⁢ z ⁢ M κ + 1 2 , μ - 1 2 ⁡ ( z ) - 2 ⁢ μ ⁢ ( 1 + 2 ⁢ μ ) ⁢ M κ , μ ⁡ ( z ) + ( κ + μ + 1 2 ) ⁢ z ⁢ M κ + 1 2 , μ + 1 2 ⁡ ( z ) = 0 . 2 𝜇 1 2 𝜇 𝑧 Whittaker-confluent-hypergeometric-M 𝜅 1 2 𝜇 1 2 𝑧 2 𝜇 1 2 𝜇 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 𝜅 𝜇 1 2 𝑧 Whittaker-confluent-hypergeometric-M 𝜅 1 2 𝜇 1 2 𝑧 0 {\displaystyle{\displaystyle 2\mu(1+2\mu)\sqrt{z}M_{\kappa+\frac{1}{2},\mu-% \frac{1}{2}}\left(z\right)-2\mu(1+2\mu)M_{\kappa,\mu}\left(z\right)+(\kappa+% \mu+\tfrac{1}{2})\sqrt{z}M_{\kappa+\frac{1}{2},\mu+\frac{1}{2}}\left(z\right)=% 0.}}
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    DLMF id
    DLMF:13.15.E7
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