Formula:KLS:14.03:09

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle 2x\normctsdualqHahnptilde{n}@@{x}{a}{b}{c}{q}=A_n\normctsdualqHahnptilde{n+1}@@{x}{a}{b}{c}{q}+\left[a+a^{-1}-\left(A_n+C_n\right)\right]\normctsdualqHahnptilde{n}@@{x}{a}{b}{c}{q}+C_n\normctsdualqHahnptilde{n-1}@@{x}{a}{b}{c}{q} }}

Substitution(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle C_n=a(1-q^n)(1-bcq^{n-1})}} &
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle A_n=a^{-1}(1-abq^n)(1-acq^n)}}


Proof

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Symbols List

& : logical and
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {\tilde p}_{n}}}  : normalized continuous dual Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Hahn polynomial Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {\tilde p}}}  : http://drmf.wmflabs.org/wiki/Definition:normctsdualqHahnptilde

Bibliography

Equation in Section 14.3 of KLS.

URL links

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