DLMF:18.12.E3 (Q5645): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (5 intermediate revisions by the same user not shown) | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11581 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11581 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperF{2}{1}@{\NVar{a},\NVar{b}}{\NVar{c}}{\NVar{z}}}\genhyperF{2}{1}@{\NVar{a},\NVar{b}}{\NVar{c}}{\NVar{z}} | |||
| Property / Symbols used: Q11581 / qualifier | |||
xml-id: C16.S2.m5adec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11660 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11660 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \JacobipolyP{\NVar{\alpha}}{\NVar{\beta}}{\NVar{n}}@{\NVar{x}}}\JacobipolyP{\NVar{\alpha}}{\NVar{\beta}}{\NVar{n}}@{\NVar{x}} | |||
| Property / Symbols used: Q11660 / qualifier | |||
xml-id: C18.S3.T1.t1.r2.m2abdec | |||
| 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: Q11750 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11750 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
| Property / Symbols used: Q11750 / qualifier | |||
xml-id: C18.S1.XMD2.m1bdec | |||
| 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.m1bdec | |||
| 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.m1bdec | |||
Latest revision as of 15:31, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:18.12.E3 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (1+z)^{-\alpha-\beta-1}\*\genhyperF{2}{1}@@{\tfrac{1}{2}(\alpha+\beta+1),\tfrac{1}{2}(\alpha+\beta+2)}{\beta+1}{\frac{2(x+1)z}{(1+z)^{2}}}=\sum_{n=0}^{\infty}\frac{\Pochhammersym{\alpha+\beta+1}{n}}{\Pochhammersym{\beta+1}{n}}\JacobipolyP{\alpha}{\beta}{n}@{x}z^{n},}
0 references
DLMF:18.12.E3
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 \genhyperF{2}{1}@{\NVar{a},\NVar{b}}{\NVar{c}}{\NVar{z}}}
C16.S2.m5adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \JacobipolyP{\NVar{\alpha}}{\NVar{\beta}}{\NVar{n}}@{\NVar{x}}}
C18.S3.T1.t1.r2.m2abdec
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 z}
C18.S1.XMD2.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C18.S1.XMD6.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C18.S2.XMD3.m1bdec
0 references