DLMF:30.11.E12 (Q8907): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(8 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: imaginary unit / rank | |||
Normal rank | |||
Property / Symbols used: imaginary unit / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}\iunit | |||
Property / Symbols used: imaginary unit / qualifier | |||
xml-id: C1.S9.E1.m2acdec | |||
Property / Symbols used | |||
Property / Symbols used: Q10771 / rank | |||
Normal rank | |||
Property / Symbols used: Q10771 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}\int | |||
Property / Symbols used: Q10771 / qualifier | |||
xml-id: C1.S4.SS4.m3adec | |||
Property / Symbols used | |||
Property / Symbols used: radial spheroidal wave function / rank | |||
Normal rank | |||
Property / Symbols used: radial spheroidal wave function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radsphwaveS{\NVar{m}}{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{\gamma}}}\radsphwaveS{\NVar{m}}{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{\gamma}} | |||
Property / Symbols used: radial spheroidal wave function / qualifier | |||
xml-id: C30.S11.E3.m2ajdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12418 / rank | |||
Normal rank | |||
Property / Symbols used: Q12418 / qualifier | |||
Defining formula: 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}}}}\sphwavePsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}} | |||
Property / Symbols used: Q12418 / qualifier | |||
xml-id: C30.S4.SS1.m1abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12401 / rank | |||
Normal rank | |||
Property / Symbols used: Q12401 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q12401 / qualifier | |||
xml-id: C30.S1.XMD1.m1hdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12408 / rank | |||
Normal rank | |||
Property / Symbols used: Q12408 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q12408 / qualifier | |||
xml-id: C30.S1.XMD4.m1idec | |||
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.m1mdec | |||
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.m1edec | |||
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.m1idec |
Latest revision as of 01:50, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:30.11.E12 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{n}^{-m}(\gamma^{2})\radsphwaveS{m}{1}{n}@{z}{\gamma}=\frac{1}{2}\iunit^{m+n}\gamma^{m}\frac{(n-m)!}{(n+m)!}z^{m}(1-z^{-2})^{\frac{1}{2}m}\*\int_{-1}^{1}e^{-\iunit\gamma zt}(1-t^{2})^{\frac{1}{2}m}\sphwavePsreal{m}{n}@{t}{\gamma^{2}}\diff{t}.}
0 references
DLMF:30.11.E12
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
C1.S4.SS4.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
introduction.Sx4.p1.t1.r15.m5aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radsphwaveS{\NVar{m}}{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{\gamma}}}
C30.S11.E3.m2ajdec
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.m1abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C30.S1.XMD1.m1hdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C30.S1.XMD4.m1idec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n\geq m}
C30.S1.XMD5.m1mdec
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.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma^{2}}
C30.S2.XMD3.m1idec
0 references