DLMF:30.8.E9 (Q8875): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Ferrers function of the second kind / rank
 
Normal rank
Property / Symbols used: Ferrers function of the second kind / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \FerrersQ[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}}

\FerrersQ[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}
Property / Symbols used: Ferrers function of the second kind / qualifier
 
xml-id: C14.S3.E2.m2adec
Property / Symbols used
 
Property / Symbols used: Q12421 / rank
 
Normal rank
Property / Symbols used: Q12421 / qualifier
 
Defining formula:

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

\sphwaveQsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}
Property / Symbols used: Q12421 / qualifier
 
xml-id: C30.S5.m1adec
Property / Symbols used
 
Property / Symbols used: Q12419 / rank
 
Normal rank
Property / Symbols used: Q12419 / qualifier
 
Defining formula:

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

x
Property / Symbols used: Q12419 / qualifier
 
xml-id: C30.S1.XMD2.m1bdec
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.m1hdec
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.m1hdec
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.m1hdec
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.m1fdec
Property / Symbols used
 
Property / Symbols used: Q12428 / rank
 
Normal rank
Property / Symbols used: Q12428 / qualifier
 
Defining formula:

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

N
Property / Symbols used: Q12428 / qualifier
 
xml-id: C30.S8.XMD6.m1dec

Latest revision as of 00:47, 2 January 2020

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DLMF:30.8.E9
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    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphwaveQsreal{m}{n}@{x}{\gamma^{2}}=\sum_{k=-\infty}^{-N-1}(-1)^{k}{a^{\prime}}^{m}_{n,k}(\gamma^{2})\FerrersP[m]{n+2k}@{x}+\sum_{k=-N}^{\infty}(-1)^{k}a^{m}_{n,k}(\gamma^{2})\FerrersQ[m]{n+2k}@{x},}
    0 references
    DLMF id
    DLMF:30.8.E9
    0 references
    Symbols used
    Ferrers function of the first kind
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \FerrersP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}}
    xml-id
    C14.S3.E1.m2abdec
    0 references
    Ferrers function of the second kind
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \FerrersQ[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}}
    xml-id
    C14.S3.E2.m2adec
    0 references
    Q12421
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphwaveQsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}}
    xml-id
    C30.S5.m1adec
    0 references
    Q12419
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
    xml-id
    C30.S1.XMD2.m1bdec
    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.m1hdec
    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.m1hdec
    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.m1hdec
    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.m1fdec
    0 references
    Q12428
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle N}
    xml-id
    C30.S8.XMD6.m1dec
    0 references
     
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