DLMF:13.15.E10 (Q4535): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Whittaker confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
 
test:

W κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

\WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
 
xml-id: C13.S14.E3.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11557 / rank
 
Normal rank
Property / Symbols used: Q11557 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11557 / qualifier
 
xml-id: C13.S1.XMD6.m1idec

Latest revision as of 15:08, 2 January 2020

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DLMF:13.15.E10
No description defined

    Statements

    test
    2 ⁢ μ ⁢ W κ , μ ⁡ ( z ) - z ⁢ W κ + 1 2 , μ + 1 2 ⁡ ( z ) + z ⁢ W κ + 1 2 , μ - 1 2 ⁡ ( z ) = 0 , 2 𝜇 Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 0 {\displaystyle{\displaystyle 2\mu W_{\kappa,\mu}\left(z\right)-\sqrt{z}W_{% \kappa+\frac{1}{2},\mu+\frac{1}{2}}\left(z\right)+\sqrt{z}W_{\kappa+\frac{1}{2% },\mu-\frac{1}{2}}\left(z\right)=0,}}
    0 references
    DLMF id
    DLMF:13.15.E10
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    test
    W κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E3.m2abdec
    0 references
    Q11557
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1idec
    0 references
     
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