Formula:KLS:09.08:44

From DRMF
Jump to navigation Jump to search


Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \normJacobiR{\alpha}{\beta}{n}@{x}:=\Jacobi{\alpha}{\beta}{n}@{x}/\Jacobi{\alpha}{\beta}{n}@{1} \omega_n^{(\alpha,\beta)}:=\frac{\int_{-1}^1 (1-x)^\alpha(1+x)^\beta dx} {\int_{-1}^1 (\normJacobiR{\alpha}{\beta}{n}@{x})^2 (1-x)^\alpha(1+x)^\beta dx} }}

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 R^{(\alpha,\beta)}_{n}}}  : normalized Jacobi polynomial : http://drmf.wmflabs.org/wiki/Definition:normJacobiR
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
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \int}}  : integral : http://dlmf.nist.gov/1.4#iv

Bibliography

Equation in Section 9.8 of KLS.

URL links

We ask users to provide relevant URL links in this space.


Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Formula:KLS:09.08:44&oldid=3717"