DLMF:32.10.E27 (Q9427): 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.m2adec

Revision as of 14:11, 2 January 2020

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DLMF:32.10.E27
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    Statements

    ϕ ( z ) = C 1 M κ , μ ( ζ ) + C 2 W κ , μ ( ζ ) ζ ( a - b + 1 ) / 2 exp ( 1 2 ζ ) , italic-ϕ 𝑧 subscript 𝐶 1 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝜁 subscript 𝐶 2 Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝜁 superscript 𝜁 𝑎 𝑏 1 2 1 2 𝜁 {\displaystyle{\displaystyle\phi(z)=\frac{C_{1}M_{\kappa,\mu}\left(\zeta\right% )+C_{2}W_{\kappa,\mu}\left(\zeta\right)}{\zeta^{(a-b+1)/2}}\exp\left(\tfrac{1}% {2}\zeta\right),}}
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    DLMF:32.10.E27
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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.m2adec
    0 references