DLMF:18.17.E8 (Q5749): Difference between revisions
Jump to navigation
Jump to search
Changed an Item: Add constraint |
Changed an Item: Add constraint |
||
(8 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Q10770 / rank | |||
Normal rank | |||
Property / Symbols used: Q10770 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}\diff{\NVar{x}} | |||
Property / Symbols used: Q10770 / qualifier | |||
xml-id: C1.S4.SS4.m1agdec | |||
Property / Symbols used | |||
Property / Symbols used: base of natural logarithm / rank | |||
Normal rank | |||
Property / Symbols used: base of natural logarithm / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}\expe | |||
Property / Symbols used: base of natural logarithm / qualifier | |||
xml-id: C4.S2.E11.m2aadec | |||
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.m5adec | |||
Property / Symbols used | |||
Property / Symbols used: hyperbolic sine function / rank | |||
Normal rank | |||
Property / Symbols used: hyperbolic sine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{\NVar{z}}}\sinh@@{\NVar{z}} | |||
Property / Symbols used: hyperbolic sine function / qualifier | |||
xml-id: C4.S28.E1.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: hyperbolic tangent function / rank | |||
Normal rank | |||
Property / Symbols used: hyperbolic tangent function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\NVar{z}}}\tanh@@{\NVar{z}} | |||
Property / Symbols used: hyperbolic tangent function / qualifier | |||
xml-id: C4.S28.E4.m2adec | |||
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.m3agdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11517 / rank | |||
Normal rank | |||
Property / Symbols used: Q11517 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraV@{\NVar{a}}{\NVar{z}}}\paraV@{\NVar{a}}{\NVar{z}} | |||
Property / Symbols used: Q11517 / qualifier | |||
xml-id: C12.S2.SS1.p1.m2adec | |||
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.m1gdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11727 / rank | |||
Normal rank | |||
Property / Symbols used: Q11727 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
Property / Symbols used: Q11727 / qualifier | |||
xml-id: C18.S2.XMD3.m1edec |
Latest revision as of 15:45, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:18.17.E8 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(\HermitepolyH{n}@{x}\right)^{2}+2^{n}(n!)^{2}e^{x^{2}}\left(\paraV@{-n-\tfrac{1}{2}}{2^{\frac{1}{2}}x}\right)^{2}=\frac{2^{n+\frac{3}{2}}n!\,e^{x^{2}}}{\pi}\int_{0}^{\infty}\frac{e^{-(2n+1)t+x^{2}\tanh@@{t}}}{(\sinh@@{2t})^{\frac{1}{2}}}\diff{t}.}
0 references
DLMF:18.17.E8
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HermitepolyH{\NVar{n}}@{\NVar{x}}}
C18.S3.T1.t1.r13.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
C1.S4.SS4.m1agdec
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.m5adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{\NVar{z}}}
C4.S28.E1.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\NVar{z}}}
C4.S28.E4.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3agdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraV@{\NVar{a}}{\NVar{z}}}
C12.S2.SS1.p1.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C18.S1.XMD6.m1gdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C18.S2.XMD3.m1edec
0 references