DLMF:2.8.E13 (Q947): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11075 / rank
 
Normal rank
Property / Symbols used: Q11075 / qualifier
 
test:

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

A_{s}(\xi)
Property / Symbols used: Q11075 / qualifier
 
xml-id: C2.S8.XMD12.m1bdec
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.m1ddec

Latest revision as of 16:26, 1 January 2020

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DLMF:2.8.E13
No description defined

    Statements

    test
    A s + 1 ⁢ ( ξ ) = - 1 2 ⁢ A s ′ ⁢ ( ξ ) + 1 2 ⁢ ∫ ψ ⁢ ( ξ ) ⁢ A s ⁢ ( ξ ) ⁢ d ξ , subscript 𝐴 𝑠 1 𝜉 1 2 superscript subscript 𝐴 𝑠 ′ 𝜉 1 2 𝜓 𝜉 subscript 𝐴 𝑠 𝜉 𝜉 {\displaystyle{\displaystyle A_{s+1}(\xi)=-\tfrac{1}{2}A_{s}^{\prime}(\xi)+% \tfrac{1}{2}\int\psi(\xi)A_{s}(\xi)\mathrm{d}\xi,}}
    0 references
    DLMF id
    DLMF:2.8.E13
    0 references
    constraint
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3acdec
    0 references
    Q11075
    test
    A s ⁢ ( ξ ) subscript 𝐴 𝑠 𝜉 {\displaystyle{\displaystyle A_{s}(\xi)}}
    xml-id
    C2.S8.XMD12.m1bdec
    0 references
    Q11071
    test
    ψ ⁢ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}}
    xml-id
    C2.S8.XMD7.m1ddec
    0 references
     
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