Formula:KLS:09.08:20: Difference between revisions
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<div id="alignleft"> << [[Formula:KLS:09.08:19|Formula:KLS:09.08:19]] </div> | <div id="alignleft"> << [[Formula:KLS:09.08:19|Formula:KLS:09.08:19]] </div> | ||
<div id="aligncenter"> [[Jacobi#KLS:09.08:20|formula in Jacobi]] </div> | <div id="aligncenter"> [[Jacobi:_Special_cases#KLS:09.08:20|formula in Jacobi: Special cases]] </div> | ||
<div id="alignright"> [[Formula:KLS:09.08:21|Formula:KLS:09.08:21]] >> </div> | <div id="alignright"> [[Formula:KLS:09.08:21|Formula:KLS:09.08:21]] >> </div> | ||
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<br /><div align="center"><math>{\displaystyle | <br /><div align="center"><math>{\displaystyle | ||
\ | \Ultra{\lambda}{2n+1}@{x}=\frac{\pochhammer{\lambda}{n+1}}{\pochhammer{\frac{1}{2}}{n+1}} | ||
\ | x\Jacobi{\lambda-\frac{1}{2}}{\frac{1}{2}}{n}@{2x^2-1} | ||
}</math></div> | }</math></div> | ||
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== Symbols List == | == Symbols List == | ||
<span class="plainlinks">[http://dlmf.nist.gov/18.3#T1.t1. | <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. | <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/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] | |||
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<div id="alignleft"> << [[Formula:KLS:09.08:19|Formula:KLS:09.08:19]] </div> | <div id="alignleft"> << [[Formula:KLS:09.08:19|Formula:KLS:09.08:19]] </div> | ||
<div id="aligncenter"> [[Jacobi#KLS:09.08:20|formula in Jacobi]] </div> | <div id="aligncenter"> [[Jacobi:_Special_cases#KLS:09.08:20|formula in Jacobi: Special cases]] </div> | ||
<div id="alignright"> [[Formula:KLS:09.08:21|Formula:KLS:09.08:21]] >> </div> | <div id="alignright"> [[Formula:KLS:09.08:21|Formula:KLS:09.08:21]] >> </div> | ||
</div> | </div> | ||
Revision as of 00:34, 6 March 2017
Proof
We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.
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
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle P^{(\alpha,\beta)}_{n}}}
: Jacobi polynomial : http://dlmf.nist.gov/18.3#T1.t1.r3
Bibliography
Equation in Section 9.8 of KLS.
URL links
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