Formula:KLS:14.03:13
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\monicctsdualqHahn{n}@@{x}{a}{b}{c}{q}=\monicctsdualqHahn{n+1}@@{x}{a}{b}{c}{q}+\frac{1}{2}\left[a+a^{-1}-(A_n+C_n)\right]\monicctsdualqHahn{n}@@{x}{a}{b}{c}{q} {}+\frac{1}{4}(1-q^n)(1-abq^{n-1}) {}(1-acq^{n-1})(1-bcq^{n-1})\monicctsdualqHahn{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)}}
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 {\widehat p}_{n}}}
: monic continuous 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:monicctsdualqHahn
Bibliography
Equation in Section 14.3 of KLS.
URL links
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