Formula:KLS:14.10:19

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 D_q\ctsqJacobi{\alpha}{\beta}{n}@{x}{q}=\frac{2q^{-n+\frac{1}{2}\alpha+\frac{5}{4}} (1-q^{n+\alpha+\beta+1})}{(1-q)(1+q^{\frac{1}{2}(\alpha+\beta+1)}) (1+q^{\frac{1}{2}(\alpha+\beta+2)})} {} P_{n-1}^{(\alpha+1,\beta+1)}(x|q) }}

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 P^{(\alpha,\beta)}_{n}}}  : continuous Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Jacobi polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsqJacobi

Bibliography

Equation in Section 14.10 of KLS.

URL links

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