Formula:KLS:14.22:08
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\monicqBesselPoly{n}@@{x}{a}{q}=\monicqBesselPoly{n+1}@@{x}{a}{q}+(A_n+C_n)\monicqBesselPoly{n}@@{x}{a}{q}+A_{n-1}C_n\monicqBesselPoly{n-1}@@{x}{a}{q} }}
Substitution(s)
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle C_n=aq^{2n-1}\frac{(1-q^n)}{(1+aq^{2n-1})(1+aq^{2n})}}}
&
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle A_n=q^n\frac{(1+aq^n)}{(1+aq^{2n})(1+aq^{2n+1})}}}
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle A_n=q^n\frac{(1+aq^n)}{(1+aq^{2n})(1+aq^{2n+1})}}}
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 y}_{n}}}
: monic Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Bessel polynomial : http://drmf.wmflabs.org/wiki/Definition:monicqBessel
Bibliography
Equation in Section 14.22 of KLS.
URL links
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