Formula:KLS:09.05:16
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \nabla\left[\omega(x;\alpha,\beta,N)\Hahn{n}@{x}{\alpha}{\beta}{N}\right] {}=\frac{N+1}{\beta}\omega(x;\alpha-1,\beta-1,N+1)\Hahn{n+1}@{x}{\alpha-1}{\beta-1}{N+1} }}
Substitution(s)
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \omega(x;\alpha,\beta,N)=\binomial{\alpha+x}{x}\binomial{\beta+N-x}{N-x}}}
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}}}
: Hahn polynomial : http://dlmf.nist.gov/18.19#T1.t1.r3
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \binom{n}{k}}}
: binomial coefficient : http://dlmf.nist.gov/1.2#E1 http://dlmf.nist.gov/26.3#SS1.p1
Bibliography
Equation in Section 9.5 of KLS.
URL links
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