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DLMF:10.45.E3 - MaRDI portal

DLMF:10.45.E3 (Q4356)

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DLMF:10.45.E3
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    Statements

    DLMF defining formula
    K ~ - ν ⁡ ( x ) = K ~ ν ⁡ ( x ) , modified-Bessel-second-kind-imaginary-order 𝜈 𝑥 modified-Bessel-second-kind-imaginary-order 𝜈 𝑥 {\displaystyle{\displaystyle\displaystyle\widetilde{K}_{-\nu}\left(x\right)=% \widetilde{K}_{\nu}\left(x\right),}}
    0 references
    comment
    Warning: Part 2 of multicontent tex element;
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    Symbols used
    modified Bessel function of the first kind of imaginary order
    DLMF defining formula
    I ~ ν ⁡ ( x ) modified-Bessel-first-kind-imaginary-order 𝜈 𝑥 {\displaystyle{\displaystyle\widetilde{I}_{\NVar{\nu}}\left(\NVar{x}\right)}}
    xml-id
    C10.S45.E2.m2aadec
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    modified Bessel function fo the second kind of imaginary order
    DLMF defining formula
    K ~ ν ⁡ ( x ) modified-Bessel-second-kind-imaginary-order 𝜈 𝑥 {\displaystyle{\displaystyle\widetilde{K}_{\NVar{\nu}}\left(\NVar{x}\right)}}
    xml-id
    C10.S45.E2.m3aadec
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    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1bdec
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    complex parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1bdec
    0 references

    Identifiers

     
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