DLMF:9.13.E12 (Q2974): Difference between revisions
Jump to navigation
Jump to search
Changed an Item: Add constraint |
Changed an Item: Add constraint |
||
| 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 | |||
Revision as of 15:00, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:9.13.E12 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genAiryODEB{n}@{-z}=\begin{cases}-(\ifrac{2}{\sqrt{\pi}})\sin@{\tfrac{1}{2}p\pi}z^{-n/4}\left(\sin@{\zeta-\tfrac{1}{4}\pi}+e^{\abs{\imagpart@@{\zeta}}}\bigO@{\zeta^{-1}}\right),&\abs{\phase@@{z}}\leq 2p\pi-\delta,n\text{ odd},\\ (\ifrac{1}{\sqrt{\pi}})\sin@{p\pi}z^{-n/4}e^{-\zeta}\left(1+\bigO@{\zeta^{-1}}\right),&\abs{\phase@@{z}}\leq 3p\pi-\delta,n\text{ even}.\end{cases}}
0 references
DLMF:9.13.E12
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
C2.S1.E3.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genAiryODEB{\NVar{n}}@{\NVar{z}}}
C9.S13.SS1.p2.m4afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \imagpart@@}
C1.S9.E2.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
C1.S9.E7.m1acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
C4.S14.E1.m2acdec
0 references