DLMF:15.16.E1 (Q5178): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (7 intermediate revisions by the same user not shown) | |||
| Property / Symbols used | |||
| Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / rank | |||
Normal rank | |||
| Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}\hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}} | |||
| Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / qualifier | |||
xml-id: C15.S2.E1.m2adec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q10759 / rank | |||
Normal rank | |||
| Property / Symbols used: Q10759 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}\Pochhammersym{\NVar{a}}{\NVar{n}} | |||
| Property / Symbols used: Q10759 / qualifier | |||
xml-id: C5.S2.SS3.m1adec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11648 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11648 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}s | |||
| Property / Symbols used: Q11648 / qualifier | |||
xml-id: C15.S1.XMD11.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11644 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11644 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
| Property / Symbols used: Q11644 / qualifier | |||
xml-id: C15.S1.XMD3.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11645 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11645 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}a | |||
| Property / Symbols used: Q11645 / qualifier | |||
xml-id: C15.S1.XMD4.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11646 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11646 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}b | |||
| Property / Symbols used: Q11646 / qualifier | |||
xml-id: C15.S1.XMD5.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11647 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11647 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c}c | |||
| Property / Symbols used: Q11647 / qualifier | |||
xml-id: C15.S1.XMD6.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11689 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11689 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{s}}A_{s} | |||
| Property / Symbols used: Q11689 / qualifier | |||
xml-id: C15.S16.XMD1.m1dec | |||
Latest revision as of 13:27, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:15.16.E1 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@@{a}{b}{c-\frac{1}{2}}{z}\hyperF@@{c-a}{c-b}{c+\frac{1}{2}}{z}=\sum_{s=0}^{\infty}\frac{\Pochhammersym{c}{s}}{\Pochhammersym{c+\frac{1}{2}}{s}}A_{s}z^{s},}
0 references
DLMF:15.16.E1
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z|<1}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}
C15.S2.E1.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}
C5.S2.SS3.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}
C15.S1.XMD11.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C15.S1.XMD3.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
C15.S1.XMD4.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}
C15.S1.XMD5.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c}
C15.S1.XMD6.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{s}}
C15.S16.XMD1.m1dec
0 references