DLMF:2.8.E31 (Q966): Difference between revisions

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imported>Admin
 
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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1ahdec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3ahdec
Property / Symbols used
 
Property / Symbols used: Q11086 / rank
 
Normal rank
Property / Symbols used: Q11086 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11086 / qualifier
 
xml-id: C2.S8.XMD21.m1gdec
Property / Symbols used
 
Property / Symbols used: Q11088 / rank
 
Normal rank
Property / Symbols used: Q11088 / qualifier
 
test:

A s ⁢ ( ξ ) subscript 𝐴 𝑠 𝜉 {\displaystyle{\displaystyle A_{s}(\xi)}}

A_{s}(\xi)
Property / Symbols used: Q11088 / qualifier
 
xml-id: C2.S8.XMD23.m1fdec
Property / Symbols used
 
Property / Symbols used: Q11089 / rank
 
Normal rank
Property / Symbols used: Q11089 / qualifier
 
test:

B s ⁢ ( ξ ) subscript 𝐵 𝑠 𝜉 {\displaystyle{\displaystyle B_{s}(\xi)}}

B_{s}(\xi)
Property / Symbols used: Q11089 / qualifier
 
xml-id: C2.S8.XMD24.m1fdec
Property / Symbols used
 
Property / Symbols used: Q11071 / rank
 
Normal rank
Property / Symbols used: Q11071 / qualifier
 
test:

ψ ⁢ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}}

\psi(\xi)
Property / Symbols used: Q11071 / qualifier
 
xml-id: C2.S8.XMD7.m1kdec

Latest revision as of 16:29, 1 January 2020

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DLMF:2.8.E31
No description defined

    Statements

    test
    B s ⁢ ( ξ ) = - A s ′ ⁢ ( ξ ) + 1 | ξ | 1 / 2 ⁢ ∫ ξ 0 ( ψ ⁢ ( v ) ⁢ A s ⁢ ( v ) - ( ν + 1 2 ) ⁢ A s ′ ⁢ ( v ) ) ⁢ d v | v | 1 / 2 , subscript 𝐵 𝑠 𝜉 superscript subscript 𝐴 𝑠 ′ 𝜉 1 superscript 𝜉 1 2 superscript subscript 𝜉 0 𝜓 𝑣 subscript 𝐴 𝑠 𝑣 𝜈 1 2 superscript subscript 𝐴 𝑠 ′ 𝑣 𝑣 superscript 𝑣 1 2 {\displaystyle{\displaystyle B_{s}(\xi)=-A_{s}^{\prime}(\xi)+\frac{1}{|\xi|^{1% /2}}\int_{\xi}^{0}\left(\psi(v)A_{s}(v)-\left(\nu+\tfrac{1}{2}\right)A_{s}^{% \prime}(v)\right)\frac{\mathrm{d}v}{|v|^{1/2}},}}
    0 references
    DLMF id
    DLMF:2.8.E31
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ahdec
    0 references
    Q11086
    test
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C2.S8.XMD21.m1gdec
    0 references
    Q11088
    test
    A s ⁢ ( ξ ) subscript 𝐴 𝑠 𝜉 {\displaystyle{\displaystyle A_{s}(\xi)}}
    xml-id
    C2.S8.XMD23.m1fdec
    0 references
    Q11089
    test
    B s ⁢ ( ξ ) subscript 𝐵 𝑠 𝜉 {\displaystyle{\displaystyle B_{s}(\xi)}}
    xml-id
    C2.S8.XMD24.m1fdec
    0 references
    Q11071
    test
    ψ ⁢ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}}
    xml-id
    C2.S8.XMD7.m1kdec
    0 references
     
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