DLMF:8.5.E4 (Q2513): 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 13:41, 2 January 2020

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DLMF:8.5.E4
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    Statements

    γ ( a , z ) = a - 1 z 1 2 a - 1 2 e - 1 2 z M 1 2 a - 1 2 , 1 2 a ( z ) . incomplete-gamma 𝑎 𝑧 superscript 𝑎 1 superscript 𝑧 1 2 𝑎 1 2 superscript 𝑒 1 2 𝑧 Whittaker-confluent-hypergeometric-M 1 2 𝑎 1 2 1 2 𝑎 𝑧 {\displaystyle{\displaystyle\gamma\left(a,z\right)=a^{-1}z^{\frac{1}{2}a-\frac% {1}{2}}e^{-\frac{1}{2}z}M_{\frac{1}{2}a-\frac{1}{2},\frac{1}{2}a}\left(z\right% ).}}
    0 references
    DLMF:8.5.E4
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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