DLMF:30.11.E3 (Q8897): 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 defined
 
Property / Symbols defined: radial spheroidal wave function / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q12401 / rank
 
Normal rank
Property / Symbols used: Q12401 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}

z
Property / Symbols used: Q12401 / qualifier
 
xml-id: C30.S1.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q12408 / rank
 
Normal rank
Property / Symbols used: Q12408 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}

m
Property / Symbols used: Q12408 / qualifier
 
xml-id: C30.S1.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q12409 / rank
 
Normal rank
Property / Symbols used: Q12409 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n\geq m}

n\geq m
Property / Symbols used: Q12409 / qualifier
 
xml-id: C30.S1.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: spherical function (locally) / rank
 
Normal rank
Property / Symbols used: spherical function (locally) / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi_{k}^{(j)}(z)}

\psi_{k}^{(j)}(z)
Property / Symbols used: spherical function (locally) / qualifier
 
xml-id: C30.S11.XMD3.m1adec
Property / Symbols used
 
Property / Symbols used: DLMF:30.11.E4 / rank
 
Normal rank
Property / Symbols used: DLMF:30.11.E4 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{n}^{m}(\gamma^{2})}

A_{n}^{m}(\gamma^{2})
Property / Symbols used: DLMF:30.11.E4 / qualifier
 
xml-id: C30.S11.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q12404 / rank
 
Normal rank
Property / Symbols used: Q12404 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma^{2}}

\gamma^{2}
Property / Symbols used: Q12404 / qualifier
 
xml-id: C30.S2.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: coefficients (locally) / rank
 
Normal rank
Property / Symbols used: coefficients (locally) / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a^{m}_{n,k}(\gamma^{2})}

a^{m}_{n,k}(\gamma^{2})
Property / Symbols used: coefficients (locally) / qualifier
 
xml-id: C30.S8.XMD2.m1dec

Latest revision as of 00:48, 2 January 2020

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DLMF:30.11.E3
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radsphwaveS{m}{j}{n}@{z}{\gamma}=\frac{(1-z^{-2})^{\frac{1}{2}m}}{A_{n}^{-m}(\gamma^{2})}\sum_{2k\geq m-n}a^{-m}_{n,k}(\gamma^{2})\psi_{n+2k}^{(j)}(\gamma z).}
    0 references
    DLMF id
    DLMF:30.11.E3
    0 references
    Symbols used
    Q12401
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C30.S1.XMD1.m1adec
    0 references
    Q12408
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    xml-id
    C30.S1.XMD4.m1dec
    0 references
    Q12409
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n\geq m}
    xml-id
    C30.S1.XMD5.m1dec
    0 references
    spherical function (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi_{k}^{(j)}(z)}
    xml-id
    C30.S11.XMD3.m1adec
    0 references
    DLMF:30.11.E4
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{n}^{m}(\gamma^{2})}
    xml-id
    C30.S11.XMD5.m1dec
    0 references
    Q12404
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma^{2}}
    xml-id
    C30.S2.XMD3.m1dec
    0 references
    coefficients (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a^{m}_{n,k}(\gamma^{2})}
    xml-id
    C30.S8.XMD2.m1dec
    0 references
     
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