DLMF:13.15.E3 (Q4528)

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DLMF:13.15.E3
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    test
    ( κ - μ - 1 2 ) ⁢ M κ - 1 2 , μ + 1 2 ⁡ ( z ) + ( 1 + 2 ⁢ μ ) ⁢ z ⁢ M κ , μ ⁡ ( z ) - ( κ + μ + 1 2 ) ⁢ M κ + 1 2 , μ + 1 2 ⁡ ( z ) = 0 , 𝜅 𝜇 1 2 Whittaker-confluent-hypergeometric-M 𝜅 1 2 𝜇 1 2 𝑧 1 2 𝜇 𝑧 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 𝜅 𝜇 1 2 Whittaker-confluent-hypergeometric-M 𝜅 1 2 𝜇 1 2 𝑧 0 {\displaystyle{\displaystyle(\kappa-\mu-\tfrac{1}{2})M_{\kappa-\frac{1}{2},\mu% +\frac{1}{2}}\left(z\right)+(1+2\mu)\sqrt{z}M_{\kappa,\mu}\left(z\right)-(% \kappa+\mu+\tfrac{1}{2})M_{\kappa+\frac{1}{2},\mu+\frac{1}{2}}\left(z\right)=0% ,}}
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    DLMF id
    DLMF:13.15.E3
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