Formula:KLS:14.07:08
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\monicdualqHahn{n}@@{x}{\gamma}{\delta}{N}=\monicdualqHahn{n+1}@@{x}{\gamma}{\delta}{N}+\left[1+\gamma\delta q-(A_n+C_n)\right]\monicdualqHahn{n}@@{x}{\gamma}{\delta}{N} {}+\gamma q(1-q^n)(1-\gamma q^n) {}(1-q^{n-N-1})(\delta-q^{n-N-1})\monicdualqHahn{n-1}@@{x}{\gamma}{\delta}{N} }}
Substitution(s)
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle C_n=\gamma q\left(1-q^n\right)\left(\delta -q^{n-N-1}\right)}}
&
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle A_n=\left(1-q^{n-N}\right)\left(1-\gamma q^{n+1}\right)}}
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle A_n=\left(1-q^{n-N}\right)\left(1-\gamma q^{n+1}\right)}}
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 {\widehat R}_{n}}}
: monic dual Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:monicdualqHahn
Bibliography
Equation in Section 14.7 of KLS.
URL links
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