Formula:KLS:14.10:33

<< Formula:KLS:14.10:32

formula in Continuous q-Jacobi

Formula:KLS:14.10:34 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \ctsqJacobi{\alpha}{\beta}{n}@{x}{q^{-1}}=q^{-n\alpha}\ctsqJacobi{\alpha}{\beta}{n}@{x}{q}\quad\textrm{and}\quad \ctsqJacobiRahman{\alpha}{\beta}{n}@{x}{q^{-1}}=q^{-n(\alpha+\beta)}\ctsqJacobiRahman{\alpha}{\beta}{n}@{x}{q} }}

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^{(\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
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-Rahman-polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsqJacobiRahman

Bibliography

Equation in Section 14.10 of KLS.

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formula in Continuous q-Jacobi

Formula:KLS:14.10:34 >>