DLMF:11.2.E6 (Q3921): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: modified Struve function / rank
 
Normal rank
Property / Symbols used: modified Struve function / qualifier
 
test:

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.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11491 / rank
 
Normal rank
Property / Symbols used: Q11491 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11491 / qualifier
 
xml-id: C11.S1.XMD2.m1edec
Property / Symbols used
 
Property / Symbols used: Q11492 / rank
 
Normal rank
Property / Symbols used: Q11492 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11492 / qualifier
 
xml-id: C11.S1.XMD3.m1cdec

Latest revision as of 13:35, 2 January 2020

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DLMF:11.2.E6
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    Statements

    𝐌 ν ( z ) = 𝐋 ν ( z ) - I ν ( z ) . associated-Struve-M 𝜈 𝑧 modified-Struve-L 𝜈 𝑧 modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{M}_{\nu}\left(z\right)=\mathbf{L}_{\nu}% \left(z\right)-I_{\nu}\left(z\right).}}
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    I ν ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S25.E2.m2adec
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    𝐋 ν ( z ) modified-Struve-L 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C11.S2.E2.m2abdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C11.S1.XMD2.m1edec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C11.S1.XMD3.m1cdec
    0 references