DLMF:12.10.E37 (Q4202): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11526 / rank
 
Normal rank
Property / Symbols used: Q11526 / qualifier
 
Defining formula:

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

s
Property / Symbols used: Q11526 / qualifier
 
xml-id: C12.S1.XMD5.m1zdec
Property / Symbols used
 
Property / Symbols used: Q11534 / rank
 
Normal rank
Property / Symbols used: Q11534 / qualifier
 
Defining formula:

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

\zeta
Property / Symbols used: Q11534 / qualifier
 
xml-id: C12.S10.XMD21.m1bdec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
Defining formula:

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

\phi(\zeta)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C12.S10.XMD22.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11535 / rank
 
Normal rank
Property / Symbols used: Q11535 / qualifier
 
Defining formula:

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

A_{s}(\zeta)
Property / Symbols used: Q11535 / qualifier
 
xml-id: C12.S10.XMD23.m1adec
Property / Symbols used
 
Property / Symbols used: Q11536 / rank
 
Normal rank
Property / Symbols used: Q11536 / qualifier
 
Defining formula:

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

B_{s}(\zeta)
Property / Symbols used: Q11536 / qualifier
 
xml-id: C12.S10.XMD24.m1adec
Property / Symbols used
 
Property / Symbols used: expansion (locally) / rank
 
Normal rank
Property / Symbols used: expansion (locally) / qualifier
 
Defining formula:

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

g(\mu)
Property / Symbols used: expansion (locally) / qualifier
 
xml-id: C12.S10.XMD7.m1kdec

Latest revision as of 15:22, 2 January 2020

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DLMF:12.10.E37
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    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraV@{-\tfrac{1}{2}\mu^{2}}{\mu t\sqrt{2}}\asympexp\frac{2\pi^{\frac{1}{2}}\mu^{\frac{1}{3}}g(\mu)\phi(\zeta)}{\EulerGamma@{\tfrac{1}{2}+\tfrac{1}{2}\mu^{2}}}\*\left(\AiryBi@{\mu^{\frac{4}{3}}\zeta}\sum_{s=0}^{\infty}\frac{A_{s}(\zeta)}{\mu^{4s}}+\frac{\AiryBi'@{\mu^{\frac{4}{3}}\zeta}}{\mu^{\frac{8}{3}}}\sum_{s=0}^{\infty}\frac{B_{s}(\zeta)}{\mu^{4s}}\right),}
    0 references
    DLMF id
    DLMF:12.10.E37
    0 references
    Symbols used
    Q11081
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AiryBi@{\NVar{z}}}
    xml-id
    C9.S2.SS1.m2adec
    0 references
    gamma function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
    xml-id
    C5.S2.E1.m2aedec
    0 references
    Q10931
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}
    xml-id
    C2.S1.SS3.p1.m11apdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2addec
    0 references
    Q11517
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraV@{\NVar{a}}{\NVar{z}}}
    xml-id
    C12.S2.SS1.p1.m2addec
    0 references
    Q11526
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}
    xml-id
    C12.S1.XMD5.m1zdec
    0 references
    Q11534
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta}
    xml-id
    C12.S10.XMD21.m1bdec
    0 references
    function (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(\zeta)}
    xml-id
    C12.S10.XMD22.m1bdec
    0 references
    Q11535
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{s}(\zeta)}
    xml-id
    C12.S10.XMD23.m1adec
    0 references
    Q11536
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{s}(\zeta)}
    xml-id
    C12.S10.XMD24.m1adec
    0 references
    expansion (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle g(\mu)}
    xml-id
    C12.S10.XMD7.m1kdec
    0 references
     
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