DLMF:10.21.E34 (Q3334): 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: Airy modulus function / rank
 
Normal rank
Property / Symbols used: Airy modulus function / qualifier
 
Defining formula:

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

\AirymodM@{\NVar{z}}
Property / Symbols used: Airy modulus function / qualifier
 
xml-id: C9.S8.E3.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11394 / rank
 
Normal rank
Property / Symbols used: Q11394 / qualifier
 
Defining formula:

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

\zAirya{\NVar{k}}
Property / Symbols used: Q11394 / qualifier
 
xml-id: C9.S9.SS1.p1.m5adec
Property / Symbols used
 
Property / Symbols used: Q11456 / rank
 
Normal rank
Property / Symbols used: Q11456 / qualifier
 
Defining formula:

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

\zBesselj{\NVar{\nu}}{\NVar{m}}
Property / Symbols used: Q11456 / qualifier
 
xml-id: C10.S21.SS1.p2.m11aidec
Property / Symbols used
 
Property / Symbols used: Q11438 / rank
 
Normal rank
Property / Symbols used: Q11438 / qualifier
 
Defining formula:

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

m
Property / Symbols used: Q11438 / qualifier
 
xml-id: C10.S1.XMD1.m1jdec
Property / Symbols used
 
Property / Symbols used: Q11428 / rank
 
Normal rank
Property / Symbols used: Q11428 / qualifier
 
Defining formula:

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

k
Property / Symbols used: Q11428 / qualifier
 
xml-id: C10.S1.XMD3.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11427 / rank
 
Normal rank
Property / Symbols used: Q11427 / qualifier
 
Defining formula:

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

\nu
Property / Symbols used: Q11427 / qualifier
 
xml-id: C10.S1.XMD7.m1zdec
Property / Symbols used
 
Property / Symbols used: Q11463 / rank
 
Normal rank
Property / Symbols used: Q11463 / qualifier
 
Defining formula:

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

\beta
Property / Symbols used: Q11463 / qualifier
 
xml-id: C10.S21.XMD5.m1ddec

Latest revision as of 15:44, 2 January 2020

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DLMF:10.21.E34
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    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\nu}'@{\zBesselj{\nu}{m}}\asympexp(-1)^{m}\frac{(2/\nu)^{\frac{2}{3}}}{\pi\AirymodM@{\zAirya{m}}}\sum_{k=0}^{\infty}\frac{\beta_{k}}{\nu^{2k/3}},}
    0 references
    DLMF id
    DLMF:10.21.E34
    0 references
    Symbols used
    Bessel function of the first kind
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\NVar{\nu}}@{\NVar{z}}}
    xml-id
    C10.S2.E2.m2acdec
    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.m11aidec
    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.m2ahdec
    0 references
    Airy modulus function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AirymodM@{\NVar{z}}}
    xml-id
    C9.S8.E3.m2aadec
    0 references
    Q11394
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zAirya{\NVar{k}}}
    xml-id
    C9.S9.SS1.p1.m5adec
    0 references
    Q11456
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zBesselj{\NVar{\nu}}{\NVar{m}}}
    xml-id
    C10.S21.SS1.p2.m11aidec
    0 references
    Q11438
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    xml-id
    C10.S1.XMD1.m1jdec
    0 references
    Q11428
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
    xml-id
    C10.S1.XMD3.m1hdec
    0 references
    Q11427
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
    xml-id
    C10.S1.XMD7.m1zdec
    0 references
    Q11463
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \beta}
    xml-id
    C10.S21.XMD5.m1ddec
    0 references
     
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