DLMF:17.3.E9 (Q5349): Difference between revisions
Jump to navigation
Jump to search
Changed an Item: Add constraint |
Changed an Item: Add constraint |
||
| (4 intermediate revisions by the same user not shown) | |||
| Property / Symbols used | |||
| Property / Symbols used: $$q$$ -binomial coefficient (or Gaussian polynomial) / rank | |||
Normal rank | |||
| Property / Symbols used: $$q$$ -binomial coefficient (or Gaussian polynomial) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qbinom{\NVar{n}}{\NVar{m}}{\NVar{q}}}\qbinom{\NVar{n}}{\NVar{m}}{\NVar{q}} | |||
| Property / Symbols used: $$q$$ -binomial coefficient (or Gaussian polynomial) / qualifier | |||
xml-id: C17.S2.E27.m2aadec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11710 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11710 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}q | |||
| Property / Symbols used: Q11710 / qualifier | |||
xml-id: C17.S1.XMD10.m1hdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11712 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11712 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}j | |||
| Property / Symbols used: Q11712 / qualifier | |||
xml-id: C17.S1.XMD2.m1adec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11716 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11716 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
| Property / Symbols used: Q11716 / qualifier | |||
xml-id: C17.S1.XMD3.m1adec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11717 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11717 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}s | |||
| Property / Symbols used: Q11717 / qualifier | |||
xml-id: C17.S1.XMD6.m1adec | |||
Latest revision as of 13:54, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:17.3.E9 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qStirlingnumbera{m}{s}@{q}=\frac{q^{-\binom{s}{2}}(1-q)^{s}}{\qPochhammer{q}{q}{s}}\sum_{j=0}^{s}(-1)^{j}q^{\binom{j}{2}}\qbinom{s}{j}{q}\frac{(1-q^{s-j})^{m}}{(1-q)^{m}}.}
0 references
DLMF:17.3.E9
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \binom{\NVar{m}}{\NVar{n}}}
C1.S2.SS1.m1acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}
C17.S2.SS1.p1.m2afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qbinom{\NVar{n}}{\NVar{m}}{\NVar{q}}}
C17.S2.E27.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
C17.S1.XMD10.m1hdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
C17.S1.XMD2.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C17.S1.XMD3.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}
C17.S1.XMD6.m1adec
0 references