Formula:KLS:14.10:83

<< Formula:KLS:14.10:82

formula in Continuous q-Jacobi: Special cases

Formula:KLS:14.10:84 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \lim_{q\uparrow1} \ctsqUltra{2m}@{x}{-q^\la }{ -q}= \Ultra{\half(\la+1)}{m}@{2x^2-1}+\Ultra{\half(\la+1)}{m-1}@{2x^2-1} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle C_{n}}}  : continuous Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -ultraspherical/Rogers polynomial : http://dlmf.nist.gov/18.28#E13
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle C^{\mu}_{n}}}  : ultraspherical/Gegenbauer polynomial : http://dlmf.nist.gov/18.3#T1.t1.r5

Bibliography

Equation in Section 14.10 of KLS.

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<< Formula:KLS:14.10:82

formula in Continuous q-Jacobi: Special cases

Formula:KLS:14.10:84 >>