DLMF:14.15.E25 (Q4872): Difference between revisions

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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
 
test:

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.m2abdec
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

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

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2afdec
Property / Symbols used
 
Property / Symbols used: Q11585 / rank
 
Normal rank
Property / Symbols used: Q11585 / qualifier
 
test:

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

\envparaUbar@{\NVar{c}}{\NVar{x}}
Property / Symbols used: Q11585 / qualifier
 
xml-id: C14.S15.SS5.p1.m9aadec
Property / Symbols used
 
Property / Symbols used: Q11519 / rank
 
Normal rank
Property / Symbols used: Q11519 / qualifier
 
test:

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

\paraUbar@{\NVar{a}}{\NVar{x}}
Property / Symbols used: Q11519 / qualifier
 
xml-id: C12.S2.SS6.p1.m4aadec
Property / Symbols used
 
Property / Symbols used: Q11589 / rank
 
Normal rank
Property / Symbols used: Q11589 / qualifier
 
test:

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

x
Property / Symbols used: Q11589 / qualifier
 
xml-id: C14.S1.XMD1.m1pdec
Property / Symbols used
 
Property / Symbols used: Q11591 / rank
 
Normal rank
Property / Symbols used: Q11591 / qualifier
 
test:

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

\mu
Property / Symbols used: Q11591 / qualifier
 
xml-id: C14.S1.XMD7.m1rdec
Property / Symbols used
 
Property / Symbols used: Q11590 / rank
 
Normal rank
Property / Symbols used: Q11590 / qualifier
 
test:

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

\nu
Property / Symbols used: Q11590 / qualifier
 
xml-id: C14.S1.XMD8.m1rdec
Property / Symbols used
 
Property / Symbols used: Q11620 / rank
 
Normal rank
Property / Symbols used: Q11620 / qualifier
 
test:

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

a
Property / Symbols used: Q11620 / qualifier
 
xml-id: C14.S15.XMD13.m1adec
Property / Symbols used
 
Property / Symbols used: Q11621 / rank
 
Normal rank
Property / Symbols used: Q11621 / qualifier
 
test:

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

\zeta
Property / Symbols used: Q11621 / qualifier
 
xml-id: C14.S15.XMD14.m1adec
Property / Symbols used
 
Property / Symbols used: Q11619 / rank
 
Normal rank
Property / Symbols used: Q11619 / qualifier
 
test:

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

\alpha
Property / Symbols used: Q11619 / qualifier
 
xml-id: C14.S15.XMD9.m1hdec

Latest revision as of 00:53, 2 January 2020

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DLMF:14.15.E25
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \FerrersQ[-\mu]{\nu}@{x}=\frac{\pi}{\left(\nu+\frac{1}{2}\right)^{1/4}2^{(\nu+\mu+2)/2}\EulerGamma@{\frac{1}{2}\nu+\frac{1}{2}\mu+\frac{3}{4}}}\*\left(\frac{\zeta^{2}-\alpha^{2}}{x^{2}-a^{2}}\right)^{1/4}\*\left(\paraUbar@{\mu-\nu-\tfrac{1}{2}}{\left(2\nu+1\right)^{1/2}\zeta}+\bigO@{\nu^{-2/3}}\envparaUbar@{\mu-\nu-\tfrac{1}{2}}{\left(2\nu+1\right)^{1/2}\zeta}\right),}
    0 references
    DLMF id
    DLMF:14.15.E25
    0 references
    Symbols used
    order not exceeding
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
    xml-id
    C2.S1.E3.m2aodec
    0 references
    gamma function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
    xml-id
    C5.S2.E1.m2agdec
    0 references
    Ferrers function of the second kind
    test
    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.m2abdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2afdec
    0 references
    Q11585
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \envparaUbar@{\NVar{c}}{\NVar{x}}}
    xml-id
    C14.S15.SS5.p1.m9aadec
    0 references
    Q11519
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraUbar@{\NVar{a}}{\NVar{x}}}
    xml-id
    C12.S2.SS6.p1.m4aadec
    0 references
    Q11589
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
    xml-id
    C14.S1.XMD1.m1pdec
    0 references
    Q11591
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mu}
    xml-id
    C14.S1.XMD7.m1rdec
    0 references
    Q11590
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
    xml-id
    C14.S1.XMD8.m1rdec
    0 references
    Q11620
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
    xml-id
    C14.S15.XMD13.m1adec
    0 references
    Q11621
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta}
    xml-id
    C14.S15.XMD14.m1adec
    0 references
    Q11619
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha}
    xml-id
    C14.S15.XMD9.m1hdec
    0 references
     
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