DLMF:13.15.E4 (Q4529)

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DLMF:13.15.E4
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    2 μ M κ - 1 2 , μ - 1 2 ( z ) - 2 μ M κ + 1 2 , μ - 1 2 ( z ) - z M κ , μ ( z ) = 0 , 2 𝜇 Whittaker-confluent-hypergeometric-M 𝜅 1 2 𝜇 1 2 𝑧 2 𝜇 Whittaker-confluent-hypergeometric-M 𝜅 1 2 𝜇 1 2 𝑧 𝑧 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 0 {\displaystyle{\displaystyle 2\mu M_{\kappa-\frac{1}{2},\mu-\frac{1}{2}}\left(% z\right)-2\mu M_{\kappa+\frac{1}{2},\mu-\frac{1}{2}}\left(z\right)-\sqrt{z}M_{% \kappa,\mu}\left(z\right)=0,}}
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