Formula:KLS:14.05:76

<< Formula:KLS:14.05:72

formula in Big q-Jacobi: Special case

Formula:KLS:14.05:77 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \bigqLegendre{n}@{x}{c}{q}=\frac{c^nq^{n(n+1)}(1-q)^n}{\qPochhammer{q,cq}{q}{n}} \left(\qderiv{q}\right)^n\left[\qPochhammer{q^{-n}x,c^{-1}q^{-n}x}{q}{n}\right] }}

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_{n}}}  : big Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Legendre polynomial : http://drmf.wmflabs.org/wiki/Definition:bigqLegendre
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a;q)_n}}  : Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \mathcal{D}_q^n}}  : Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -derivative : http://drmf.wmflabs.org/wiki/Definition:qderiv

Bibliography

Equation in Section 14.5 of KLS.

URL links

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

<< Formula:KLS:14.05:72

formula in Big q-Jacobi: Special case

Formula:KLS:14.05:77 >>