DLMF:18.15.E10 (Q5702): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(5 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Q10755 / rank | |||
Normal rank | |||
Property / Symbols used: Q10755 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}! | |||
Property / Symbols used: Q10755 / qualifier | |||
xml-id: introduction.Sx4.p1.t1.r15.m5abdec | |||
Property / Symbols used | |||
Property / Symbols used: sine function / rank | |||
Normal rank | |||
Property / Symbols used: sine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}\sin@@{\NVar{z}} | |||
Property / Symbols used: sine function / qualifier | |||
xml-id: C4.S14.E1.m2acdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11475 / rank | |||
Normal rank | |||
Property / Symbols used: Q11475 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ultrasphpoly{\NVar{\lambda}}{\NVar{n}}@{\NVar{x}}}\ultrasphpoly{\NVar{\lambda}}{\NVar{n}}@{\NVar{x}} | |||
Property / Symbols used: Q11475 / qualifier | |||
xml-id: C18.S3.T1.t1.r3.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: Q11730 / rank | |||
Normal rank | |||
Property / Symbols used: Q11730 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q11730 / qualifier | |||
xml-id: C18.S1.XMD5.m1fdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11726 / rank | |||
Normal rank | |||
Property / Symbols used: Q11726 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
Property / Symbols used: Q11726 / qualifier | |||
xml-id: C18.S1.XMD6.m1edec | |||
Property / Symbols used | |||
Property / Symbols used: DLMF:18.15.E11 / rank | |||
Normal rank | |||
Property / Symbols used: DLMF:18.15.E11 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \theta_{n,m}}\theta_{n,m} | |||
Property / Symbols used: DLMF:18.15.E11 / qualifier | |||
xml-id: C18.S15.XMD9.m1dec |
Latest revision as of 15:38, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:18.15.E10 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ultrasphpoly{\lambda}{n}@{\cos@@{\theta}}=\frac{2^{2\lambda}\EulerGamma@{\lambda+\frac{1}{2}}}{\pi^{\frac{1}{2}}\EulerGamma@{\lambda+1}}\frac{\Pochhammersym{2\lambda}{n}}{\Pochhammersym{\lambda+1}{n}}\*\left(\sum_{m=0}^{M-1}\dfrac{\Pochhammersym{\lambda}{m}\Pochhammersym{1-\lambda}{m}}{m!\,\Pochhammersym{n+\lambda+1}{m}}\dfrac{\cos@@{\theta_{n,m}}}{(2\sin@@{\theta})^{m+\lambda}}+\bigO@{\frac{1}{n^{M}}}\right),}
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DLMF:18.15.E10
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
C2.S1.E3.m2abdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}
C5.S2.SS3.m1abdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2acdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
C4.S14.E2.m2acdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
introduction.Sx4.p1.t1.r15.m5abdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
C4.S14.E1.m2acdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ultrasphpoly{\NVar{\lambda}}{\NVar{n}}@{\NVar{x}}}
C18.S3.T1.t1.r3.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C18.S1.XMD5.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C18.S1.XMD6.m1edec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \theta_{n,m}}
C18.S15.XMD9.m1dec
0 references