DLMF:13.15.E12 (Q4537): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11557 / rank
 
Normal rank
Property / Symbols used: Q11557 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11557 / qualifier
 
xml-id: C13.S1.XMD6.m1kdec

Latest revision as of 16:08, 2 January 2020

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DLMF:13.15.E12
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    Statements

    Defining formula
    ( κ - μ - 1 2 ) ⁢ z ⁢ W κ - 1 2 , μ + 1 2 ⁡ ( z ) + 2 ⁢ μ ⁢ W κ , μ ⁡ ( z ) - ( κ + μ - 1 2 ) ⁢ z ⁢ W κ - 1 2 , μ - 1 2 ⁡ ( z ) = 0 , 𝜅 𝜇 1 2 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 2 𝜇 Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 𝜅 𝜇 1 2 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 0 {\displaystyle{\displaystyle(\kappa-\mu-\tfrac{1}{2})\sqrt{z}W_{\kappa-\frac{1% }{2},\mu+\frac{1}{2}}\left(z\right)+2\mu W_{\kappa,\mu}\left(z\right)-(\kappa+% \mu-\tfrac{1}{2})\sqrt{z}W_{\kappa-\frac{1}{2},\mu-\frac{1}{2}}\left(z\right)=% 0,}}
    0 references
    DLMF id
    DLMF:13.15.E12
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    Defining formula
    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.m2addec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1kdec
    0 references
     
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