Formula:KLS:14.12:24

<< Formula:KLS:14.12:23

formula in Little q-Jacobi

Formula:KLS:14.12:25 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \lim_{q\rightarrow 1}\littleqJacobi{n}@{x}{q^{\alpha}}{q^{\beta}}{q}=\frac{\Jacobi{\alpha}{\beta}{n}@{1-2x}} {\Jacobi{\alpha}{\beta}{n}@{1}} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle p_{n}}}  : little 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:littleqJacobi
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 14.12 of KLS.

URL links

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<< Formula:KLS:14.12:23

formula in Little q-Jacobi

Formula:KLS:14.12:25 >>