Formula:KLS:09.08:09: Difference between revisions
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<div id="alignleft"> << [[Formula:KLS:09.08:08|Formula:KLS:09.08:08]] </div> | <div id="alignleft"> << [[Formula:KLS:09.08:08|Formula:KLS:09.08:08]] </div> | ||
<div id="aligncenter"> [[Jacobi#KLS:09.08:09|formula in Jacobi]] </div> | <div id="aligncenter"> [[Jacobi:_Special_cases#KLS:09.08:09|formula in Jacobi: Special cases]] </div> | ||
<div id="alignright"> [[Formula:KLS:09.08:10|Formula:KLS:09.08:10]] >> </div> | <div id="alignright"> [[Formula:KLS:09.08:10|Formula:KLS:09.08:10]] >> </div> | ||
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<br /><div align="center"><math>{\displaystyle | <br /><div align="center"><math>{\displaystyle | ||
(1-x^2)\frac{d}{dx}\ | (1-x^2)\frac{d}{dx}\Ultra{\lambda}{n}@{x}+(1-2\lambda)x\Ultra{\lambda}{n}@{x}= | ||
-\frac{(n+1)(2\lambda+n-1)}{2(\lambda-1)} \Ultra{\lambda-1}{n+1}@{x} | |||
{ | |||
}</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 /> | <br /> | ||
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<div id="alignleft"> << [[Formula:KLS:09.08:08|Formula:KLS:09.08:08]] </div> | <div id="alignleft"> << [[Formula:KLS:09.08:08|Formula:KLS:09.08:08]] </div> | ||
<div id="aligncenter"> [[Jacobi#KLS:09.08:09|formula in Jacobi]] </div> | <div id="aligncenter"> [[Jacobi:_Special_cases#KLS:09.08:09|formula in Jacobi: Special cases]] </div> | ||
<div id="alignright"> [[Formula:KLS:09.08:10|Formula:KLS:09.08:10]] >> </div> | <div id="alignright"> [[Formula:KLS:09.08:10|Formula:KLS:09.08:10]] >> </div> | ||
</div> | </div> | ||
Latest revision as of 07:34, 22 December 2019
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (1-x^2)\frac{d}{dx}\Ultra{\lambda}{n}@{x}+(1-2\lambda)x\Ultra{\lambda}{n}@{x}= -\frac{(n+1)(2\lambda+n-1)}{2(\lambda-1)} \Ultra{\lambda-1}{n+1}@{x} }}
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
Bibliography
Equation in Section 9.8 of KLS.
URL links
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