DLMF:2.8.E28 (Q963): Difference between revisions

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‎Created a new Item: Wikidata Toolkit example test item creation
 
‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1agdec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3agdec
Property / Symbols used
 
Property / Symbols used: Q11086 / rank
 
Normal rank
Property / Symbols used: Q11086 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11086 / qualifier
 
xml-id: C2.S8.XMD21.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11088 / rank
 
Normal rank
Property / Symbols used: Q11088 / qualifier
 
Defining formula:

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.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11089 / rank
 
Normal rank
Property / Symbols used: Q11089 / qualifier
 
Defining formula:

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.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11071 / rank
 
Normal rank
Property / Symbols used: Q11071 / qualifier
 
Defining formula:

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

\psi(\xi)
Property / Symbols used: Q11071 / qualifier
 
xml-id: C2.S8.XMD7.m1jdec

Latest revision as of 17:29, 1 January 2020

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DLMF:2.8.E28
No description defined

    Statements

    Defining formula
    A s + 1 ⁢ ( ξ ) = ν ⁢ B s ⁢ ( ξ ) - ξ ⁢ B s ′ ⁢ ( ξ ) + ∫ ψ ⁢ ( ξ ) ⁢ B s ⁢ ( ξ ) ⁢ d ξ , subscript 𝐴 𝑠 1 𝜉 𝜈 subscript 𝐵 𝑠 𝜉 𝜉 superscript subscript 𝐵 𝑠 ′ 𝜉 𝜓 𝜉 subscript 𝐵 𝑠 𝜉 𝜉 {\displaystyle{\displaystyle A_{s+1}(\xi)=\nu B_{s}(\xi)-\xi B_{s}^{\prime}(% \xi)+\int\psi(\xi)B_{s}(\xi)\mathrm{d}\xi,}}
    0 references
    DLMF id
    DLMF:2.8.E28
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1agdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3agdec
    0 references
    Q11086
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C2.S8.XMD21.m1ddec
    0 references
    Q11088
    Defining formula
    A s ⁢ ( ξ ) subscript 𝐴 𝑠 𝜉 {\displaystyle{\displaystyle A_{s}(\xi)}}
    xml-id
    C2.S8.XMD23.m1cdec
    0 references
    Q11089
    Defining formula
    B s ⁢ ( ξ ) subscript 𝐵 𝑠 𝜉 {\displaystyle{\displaystyle B_{s}(\xi)}}
    xml-id
    C2.S8.XMD24.m1cdec
    0 references
    Q11071
    Defining formula
    ψ ⁢ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}}
    xml-id
    C2.S8.XMD7.m1jdec
    0 references
     
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