DLMF:10.45.E3 (Q3659): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: modified Bessel function fo the second kind of imaginary order / rank
 
Normal rank
Property / Symbols used: modified Bessel function fo the second kind of imaginary order / qualifier
 
Defining formula:

K ~ ν ⁡ ( x ) modified-Bessel-second-kind-imaginary-order 𝜈 𝑥 {\displaystyle{\displaystyle\widetilde{K}_{\NVar{\nu}}\left(\NVar{x}\right)}}

\modBesselKimag{\NVar{\nu}}@{\NVar{x}}
Property / Symbols used: modified Bessel function fo the second kind of imaginary order / qualifier
 
xml-id: C10.S45.E2.m3aadec

Revision as of 14:06, 2 January 2020

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DLMF:10.45.E3
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    Statements

    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
    DLMF id
    DLMF:10.45.E3
    0 references
    comment
    Warning: Part 2 of multicontent tex element;
    0 references
    Symbols used
    modified Bessel function of the first kind of imaginary order
    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
    0 references
    modified Bessel function fo the second kind of imaginary order
    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
    0 references
     
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