DLMF:13.2.E41 (Q4333): Difference between revisions
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Created a new Item: Wikidata Toolkit example test item creation |
Changed an Item: Add constraint |
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| (6 intermediate revisions by the same user not shown) | |||
| Property / Symbols used | |||
| Property / Symbols used: gamma function / rank | |||
Normal rank | |||
| Property / Symbols used: gamma function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}\EulerGamma@{\NVar{z}} | |||
| Property / Symbols used: gamma function / qualifier | |||
xml-id: C5.S2.E1.m2aqdec | |||
| Property / Symbols used | |||
| Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / rank | |||
Normal rank | |||
| Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}}\KummerconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}} | |||
| Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / qualifier | |||
xml-id: C13.S2.E2.m2aidec | |||
| Property / Symbols used | |||
| Property / Symbols used: Kummer confluent hypergeometric function / rank | |||
Normal rank | |||
| Property / Symbols used: Kummer confluent hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{\NVar{a}}{\NVar{b}}{\NVar{z}}}\KummerconfhyperU@{\NVar{a}}{\NVar{b}}{\NVar{z}} | |||
| Property / Symbols used: Kummer confluent hypergeometric function / qualifier | |||
xml-id: C13.S2.E6.m2axdec | |||
| Property / Symbols used | |||
| Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank | |||
Normal rank | |||
| Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}\cpi | |||
| Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier | |||
xml-id: C3.S12.E1.m2aidec | |||
| 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.m2akdec | |||
| 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.m2afdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11557 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11557 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
| Property / Symbols used: Q11557 / qualifier | |||
xml-id: C13.S1.XMD6.m1andec | |||
Latest revision as of 15:41, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:13.2.E41 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{\EulerGamma@{b}}\KummerconfhyperM@{a}{b}{z}=\frac{e^{\mp a\pi\iunit}}{\EulerGamma@{b-a}}\KummerconfhyperU@{a}{b}{z}+\frac{e^{\pm(b-a)\pi\iunit}}{\EulerGamma@{a}}e^{z}\KummerconfhyperU@{b-a}{b}{e^{\pm\pi\iunit}z}.}
0 references
DLMF:13.2.E41
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2aqdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}}
C13.S2.E2.m2aidec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperU@{\NVar{a}}{\NVar{b}}{\NVar{z}}}
C13.S2.E6.m2axdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2aidec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2akdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C13.S1.XMD6.m1andec
0 references