DLMF:30.11.E11 (Q8906): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(4 intermediate revisions by the same user not shown) | |||
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.m1ldec | |||
Property / Symbols used | |||
Property / Symbols used: DLMF:30.11.E4 / rank | |||
Normal rank | |||
Property / Symbols used: DLMF:30.11.E4 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{n}^{m}(\gamma^{2})}A_{n}^{m}(\gamma^{2}) | |||
Property / Symbols used: DLMF:30.11.E4 / qualifier | |||
xml-id: C30.S11.XMD5.m1ddec | |||
Property / Symbols used | |||
Property / Symbols used: Q12434 / rank | |||
Normal rank | |||
Property / Symbols used: Q12434 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle K_{n}^{m}(\gamma)}K_{n}^{m}(\gamma) | |||
Property / Symbols used: Q12434 / qualifier | |||
xml-id: C30.S11.XMD6.m1cdec | |||
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.m1cdec |
Latest revision as of 01:50, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:30.11.E11 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle K_{n}^{m}(\gamma)=\frac{\sqrt{\pi}}{2}\left(\frac{\gamma}{2}\right)^{m+1}\*\frac{(-1)^{m}a_{n,\frac{1}{2}(m-n+1)}^{-m}(\gamma^{2})}{\EulerGamma@{\frac{5}{2}+m}A_{n}^{-m}(\gamma^{2})(\left.\ideriv{\sphwavePsreal{m}{n}(z,\gamma^{2})}{z}\right|_{z=0})},}
0 references
DLMF:30.11.E11
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n-m}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{\NVar{f}}{\NVar{x}}}
C1.S4.E4.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphwavePsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}}
C30.S4.SS1.m1aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C30.S1.XMD1.m1gdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C30.S1.XMD4.m1hdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n\geq m}
C30.S1.XMD5.m1ldec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{n}^{m}(\gamma^{2})}
C30.S11.XMD5.m1ddec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle K_{n}^{m}(\gamma)}
C30.S11.XMD6.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma^{2}}
C30.S2.XMD3.m1hdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a^{m}_{n,k}(\gamma^{2})}
C30.S8.XMD2.m1cdec
0 references