Definition:bigqLaguerre and Definition:monicbigqLegendre: Difference between pages
imported>SeedBot DRMF |
imported>SeedBot DRMF |
||
| Line 1: | Line 1: | ||
<div id="drmf_head"> | <div id="drmf_head"> | ||
<div id="alignleft"> << [[Definition: | <div id="alignleft"> << [[Definition:monicbigqLaguerre|Definition:monicbigqLaguerre]] </div> | ||
<div id="aligncenter"> [[Main_Page|Main Page]] </div> | <div id="aligncenter"> [[Main_Page|Main Page]] </div> | ||
<div id="alignright"> [[Definition: | <div id="alignright"> [[Definition:monicCharlier|Definition:monicCharlier]] >> </div> | ||
</div> | </div> | ||
The LaTeX DLMF and DRMF macro '''\ | The LaTeX DLMF and DRMF macro '''\monicbigqLegendre''' represents the monic big <math>q</math> polynomial. | ||
This macro is in the category of polynomials. | This macro is in the category of polynomials. | ||
| Line 11: | Line 11: | ||
In math mode, this macro can be called in the following ways: | In math mode, this macro can be called in the following ways: | ||
:'''\ | :'''\monicbigqLegendre{n}''' produces <math>{\displaystyle \monicbigqLegendre{n}}</math><br /> | ||
:'''\ | :'''\monicbigqLegendre{n}@{x}{c}{q}''' produces <math>{\displaystyle \monicbigqLegendre{n}@{x}{c}{q}}</math><br /> | ||
:'''\monicbigqLegendre{n}@@{x}{c}{q}''' produces <math>{\displaystyle \monicbigqLegendre{n}@@{x}{c}{q}}</math><br /> | |||
These are defined by | These are defined by | ||
<math>{\displaystyle | <math> | ||
\ | {\displaystyle | ||
\bigqLegendre{n}@{x}{c}{q}=:\frac{\qPochhammer{q^{n+1}}{q}{n}}{\qPochhammer{q,cq}{q}{n}}\monicbigqLegendre{n}@{x}{c}{q}. | |||
}</math> | }</math> | ||
<br /> | <br /> | ||
| Line 22: | Line 24: | ||
== Symbols List == | == Symbols List == | ||
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition: | <span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:monicbigqLegendre <math>{\displaystyle {\widehat P}_{n}}</math>]</span> : monic big <math>{\displaystyle q}</math>-Legendre polynomial : [http://drmf.wmflabs.org/wiki/Definition:monicbigqLegendre http://drmf.wmflabs.org/wiki/Definition:monicbigqLegendre]<br /> | ||
<span class="plainlinks">[http://dlmf.nist.gov/ | <span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:bigqLegendre <math>{\displaystyle P_{n}}</math>]</span> : big <math>{\displaystyle q}</math>-Legendre polynomial : [http://drmf.wmflabs.org/wiki/Definition:bigqLegendre http://drmf.wmflabs.org/wiki/Definition:bigqLegendre]<br /> | ||
<span class="plainlinks">[http://dlmf.nist.gov/5.18#i <math>{\displaystyle (a;q)_n}</math>]</span> : <math>{\displaystyle q}</math>-Pochhammer symbol : [http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/5.18#i] [http://dlmf.nist.gov/17.2#SS1.p1 http://dlmf.nist.gov/17.2#SS1.p1] | |||
<br /><div id="drmf_foot"> | <br /><div id="drmf_foot"> | ||
<div id="alignleft"> << [[Definition: | <div id="alignleft"> << [[Definition:monicbigqLaguerre|Definition:monicbigqLaguerre]] </div> | ||
<div id="aligncenter"> [[Main_Page|Main Page]] </div> | <div id="aligncenter"> [[Main_Page|Main Page]] </div> | ||
<div id="alignright"> [[Definition: | <div id="alignright"> [[Definition:monicCharlier|Definition:monicCharlier]] >> </div> | ||
</div> | </div> | ||
Revision as of 00:33, 6 March 2017
The LaTeX DLMF and DRMF macro \monicbigqLegendre represents the monic big Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q} polynomial.
This macro is in the category of polynomials.
In math mode, this macro can be called in the following ways:
- \monicbigqLegendre{n} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \monicbigqLegendre{n}}}
- \monicbigqLegendre{n}@{x}{c}{q} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \monicbigqLegendre{n}@{x}{c}{q}}}
- \monicbigqLegendre{n}@@{x}{c}{q} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \monicbigqLegendre{n}@@{x}{c}{q}}}
These are defined by
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \bigqLegendre{n}@{x}{c}{q}=:\frac{\qPochhammer{q^{n+1}}{q}{n}}{\qPochhammer{q,cq}{q}{n}}\monicbigqLegendre{n}@{x}{c}{q}. }}
Symbols List
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {\widehat P}_{n}}}
: monic big Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Legendre polynomial : http://drmf.wmflabs.org/wiki/Definition:monicbigqLegendre
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle P_{n}}}
: big Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Legendre polynomial : http://drmf.wmflabs.org/wiki/Definition:bigqLegendre
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a;q)_n}}
: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1