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DLMF:13.18.E3 - MaRDI portal

DLMF:13.18.E3 (Q5269)

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DLMF:13.18.E3
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    Statements

    DLMF defining formula
    M κ , - κ - 1 2 ⁡ ( z ) = e 1 2 ⁢ z ⁢ z - κ . Whittaker-confluent-hypergeometric-M 𝜅 𝜅 1 2 𝑧 superscript 𝑒 1 2 𝑧 superscript 𝑧 𝜅 {\displaystyle{\displaystyle M_{\kappa,-\kappa-\frac{1}{2}}\left(z\right)=e^{% \frac{1}{2}z}z^{-\kappa}.}}
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    DLMF defining formula
    M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E2.m2abdec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1bdec
    0 references

    Identifiers

     
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