Formula:KLS:14.08:35

<< Formula:KLS:14.08:34

formula in Al-Salam-Chihara

Formula:KLS:14.08:36 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \qinvAlSalamChihara{n}@{\frac12(aq^{-x}+a^{-1}q^x)}{a}{b }{q^{-1}} =(-ab^{-1})^x q^{-\frac12 x(x+1)} \frac{\qPochhammer{qba^{-1}}{q}{x}}{\qPochhammer{a^{-1}b^{-1}}{q}{x}} \littleqJacobi{x}@{q^n}{ba^{-1}}{(qab)^{-1}}{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 Q_{n}}}  : Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -inverse Al-Salam-Chihara polynomial : http://dlmf.nist.gov/23.1
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 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

Bibliography

Equation in Section 14.8 of KLS.

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<< Formula:KLS:14.08:34

formula in Al-Salam-Chihara

Formula:KLS:14.08:36 >>