Formula:KLS:09.03:10

<< Formula:KLS:09.03:09

formula in Continuous dual Hahn

Formula:KLS:09.03:14 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle ny(x)=B(x)y(x+\iunit)-\left[B(x)+D(x)\right]y(x)+D(x)y(x-\iunit) }}

Substitution(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle D(x)=\frac{(a+\iunit x)(b+\iunit x)(c+\iunit x)}{2\iunit x(2\iunit x+1)}}} &

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle B(x)=\frac{(a-\iunit x)(b-\iunit x)(c-\iunit x)}{2\iunit x(2\iunit x-1)}}} &

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle y(x)=\ctsdualHahn{n}@{x^2}{a}{b}{c}}}

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 \mathrm{i}}}  : imaginary unit : http://dlmf.nist.gov/1.9.i
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle S_{n}}}  : continuous dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r3

Bibliography

Equation in Section 9.3 of KLS.

URL links

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<< Formula:KLS:09.03:09

formula in Continuous dual Hahn

Formula:KLS:09.03:14 >>