DLMF:17.2.E35 (Q5325): 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: Q11298 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11298 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}\qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}} | |||
| Property / Symbols used: Q11298 / qualifier | |||
xml-id: C17.S2.SS1.p1.m2aaddec | |||
| 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.m2ahdec | |||
| 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.m1ahdec | |||
| 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.m1edec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11711 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11711 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
| Property / Symbols used: Q11711 / qualifier | |||
xml-id: C17.S1.XMD4.m1aedec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11718 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11718 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
| Property / Symbols used: Q11718 / qualifier | |||
xml-id: C17.S1.XMD7.m1dec | |||
Latest revision as of 14:50, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:17.2.E35 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sum_{j=0}^{n}\qbinom{n}{j}{q}(-z)^{j}q^{\binom{j}{2}}=\qPochhammer{z}{q}{n}={(1-z)(1-zq)\cdots(1-zq^{n-1})}.}
0 references
DLMF:17.2.E35
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.m1akdec
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.m2aaddec
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.m2ahdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
C17.S1.XMD10.m1ahdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
C17.S1.XMD2.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C17.S1.XMD4.m1aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C17.S1.XMD7.m1dec
0 references