DLMF:13.18.E2 (Q4571): 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
 
Defining formula:

M κ , μ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

\WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
 
xml-id: C13.S14.E2.m2aadec

Revision as of 16:12, 2 January 2020

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DLMF:13.18.E2
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    Statements

    M κ , κ - 1 2 ( z ) = W κ , κ - 1 2 ( z ) = W κ , - κ + 1 2 ( z ) = e - 1 2 z z κ , Whittaker-confluent-hypergeometric-M 𝜅 𝜅 1 2 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 𝜅 1 2 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 𝜅 1 2 𝑧 superscript 𝑒 1 2 𝑧 superscript 𝑧 𝜅 {\displaystyle{\displaystyle M_{\kappa,\kappa-\frac{1}{2}}\left(z\right)=W_{% \kappa,\kappa-\frac{1}{2}}\left(z\right)=W_{\kappa,-\kappa+\frac{1}{2}}\left(z% \right)=e^{-\frac{1}{2}z}z^{\kappa},}}
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    DLMF:13.18.E2
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    M κ , μ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    C13.S14.E2.m2aadec
    0 references