Formula:KLS:09.08:26: Difference between revisions

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m Move page script moved page Formula:KLS:09.08:26 to F:KLS:09.08:26
 
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<div id="drmf_head">
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<div id="alignleft"> << [[Formula:KLS:09.08:25|Formula:KLS:09.08:25]] </div>
<div id="alignleft"> << [[Formula:KLS:09.08:25|Formula:KLS:09.08:25]] </div>
<div id="aligncenter"> [[Jacobi#KLS:09.08:26|formula in Jacobi]] </div>
<div id="aligncenter"> [[Jacobi:_Special_cases#KLS:09.08:26|formula in Jacobi: Special cases]] </div>
<div id="alignright"> [[Formula:KLS:09.08:27|Formula:KLS:09.08:27]] >> </div>
<div id="alignright"> [[Formula:KLS:09.08:27|Formula:KLS:09.08:27]] >> </div>
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<br /><div align="center"><math>{\displaystyle  
<br /><div align="center"><math>{\displaystyle  
\Ultra{\lambda}{2n}@{x}=\frac{\pochhammer{\lambda}{n}}{\pochhammer{\frac{1}{2}}{n}}
\Ultra{\lambda}{n}@{1}=\frac{\pochhammer{2\lambda}{n}}{n!}  
\Jacobi{\lambda-\frac{1}{2}}{-\frac{1}{2}}{n}@{2x^2-1}
}</math></div>
}</math></div>


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<span class="plainlinks">[http://dlmf.nist.gov/18.3#T1.t1.r5 <math>{\displaystyle C^{\mu}_{n}}</math>]</span> : ultraspherical/Gegenbauer polynomial : [http://dlmf.nist.gov/18.3#T1.t1.r5 http://dlmf.nist.gov/18.3#T1.t1.r5]<br />
<span class="plainlinks">[http://dlmf.nist.gov/18.3#T1.t1.r5 <math>{\displaystyle C^{\mu}_{n}}</math>]</span> : ultraspherical/Gegenbauer polynomial : [http://dlmf.nist.gov/18.3#T1.t1.r5 http://dlmf.nist.gov/18.3#T1.t1.r5]<br />
<span class="plainlinks">[http://dlmf.nist.gov/5.2#iii <math>{\displaystyle (a)_n}</math>]</span> : Pochhammer symbol : [http://dlmf.nist.gov/5.2#iii http://dlmf.nist.gov/5.2#iii]<br />
<span class="plainlinks">[http://dlmf.nist.gov/5.2#iii <math>{\displaystyle (a)_n}</math>]</span> : Pochhammer symbol : [http://dlmf.nist.gov/5.2#iii http://dlmf.nist.gov/5.2#iii]
<span class="plainlinks">[http://dlmf.nist.gov/18.3#T1.t1.r3 <math>{\displaystyle P^{(\alpha,\beta)}_{n}}</math>]</span> : Jacobi polynomial : [http://dlmf.nist.gov/18.3#T1.t1.r3 http://dlmf.nist.gov/18.3#T1.t1.r3]
<br />
<br />


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<br /><div id="drmf_foot">
<br /><div id="drmf_foot">
<div id="alignleft"> << [[Formula:KLS:09.08:25|Formula:KLS:09.08:25]] </div>
<div id="alignleft"> << [[Formula:KLS:09.08:25|Formula:KLS:09.08:25]] </div>
<div id="aligncenter"> [[Jacobi#KLS:09.08:26|formula in Jacobi]] </div>
<div id="aligncenter"> [[Jacobi:_Special_cases#KLS:09.08:26|formula in Jacobi: Special cases]] </div>
<div id="alignright"> [[Formula:KLS:09.08:27|Formula:KLS:09.08:27]] >> </div>
<div id="alignright"> [[Formula:KLS:09.08:27|Formula:KLS:09.08:27]] >> </div>
</div>
</div>

Latest revision as of 08:35, 22 December 2019


Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \Ultra{\lambda}{n}@{1}=\frac{\pochhammer{2\lambda}{n}}{n!} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle C^{\mu}_{n}}}  : ultraspherical/Gegenbauer polynomial : http://dlmf.nist.gov/18.3#T1.t1.r5
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a)_n}}  : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

Bibliography

Equation in Section 9.8 of KLS.

URL links

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