DLMF:11.2.E16 (Q3931): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: modified Bessel function of the second kind / rank
 
Normal rank
Property / Symbols used: modified Bessel function of the second kind / qualifier
 
Defining formula:

K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

\modBesselK{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: modified Bessel function of the second kind / qualifier
 
xml-id: C10.S25.E3.m2adec
Property / Symbols used
 
Property / Symbols used: modified Struve function / rank
 
Normal rank
Property / Symbols used: modified Struve function / qualifier
 
Defining formula:

𝐋 ν ⁡ ( z ) modified-Struve-L 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\modStruveL{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: modified Struve function / qualifier
 
xml-id: C11.S2.E2.m2addec
Property / Symbols used
 
Property / Symbols used: Q11491 / rank
 
Normal rank
Property / Symbols used: Q11491 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11491 / qualifier
 
xml-id: C11.S1.XMD2.m1mdec
Property / Symbols used
 
Property / Symbols used: Q11492 / rank
 
Normal rank
Property / Symbols used: Q11492 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11492 / qualifier
 
xml-id: C11.S1.XMD3.m1mdec
Property / Symbols used
 
Property / Symbols used: Q11495 / rank
 
Normal rank
Property / Symbols used: Q11495 / qualifier
 
Defining formula:

A 𝐴 {\displaystyle{\displaystyle A}}

A
Property / Symbols used: Q11495 / qualifier
 
xml-id: C11.S2.XMD1.m1edec
Property / Symbols used
 
Property / Symbols used: Q11496 / rank
 
Normal rank
Property / Symbols used: Q11496 / qualifier
 
Defining formula:

B 𝐵 {\displaystyle{\displaystyle B}}

B
Property / Symbols used: Q11496 / qualifier
 
xml-id: C11.S2.XMD2.m1edec

Latest revision as of 14:37, 2 January 2020

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DLMF:11.2.E16
No description defined

    Statements

    Defining formula
    w = 𝐋 ν ⁡ ( z ) + A ⁢ K ν ⁡ ( z ) + B ⁢ I ν ⁡ ( z ) , 𝑤 modified-Struve-L 𝜈 𝑧 𝐴 modified-Bessel-second-kind 𝜈 𝑧 𝐵 modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle w=\mathbf{L}_{\nu}\left(z\right)+AK_{\nu}\left(z% \right)+BI_{\nu}\left(z\right),}}
    0 references
    DLMF id
    DLMF:11.2.E16
    0 references
    Symbols used
    modified Bessel function of the first kind
    Defining formula
    I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E2.m2aadec
    0 references
    modified Bessel function of the second kind
    Defining formula
    K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E3.m2adec
    0 references
    modified Struve function
    Defining formula
    𝐋 ν ⁡ ( z ) modified-Struve-L 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S2.E2.m2addec
    0 references
    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1mdec
    0 references
    Q11492
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1mdec
    0 references
    Q11495
    Defining formula
    A 𝐴 {\displaystyle{\displaystyle A}}
    xml-id
    C11.S2.XMD1.m1edec
    0 references
    Q11496
    Defining formula
    B 𝐵 {\displaystyle{\displaystyle B}}
    xml-id
    C11.S2.XMD2.m1edec
    0 references
     
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