Formula:KLS:09.09:13

<< Formula:KLS:09.09:12

formula in Pseudo Jacobi

Formula:KLS:09.09:14 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \left[\HyperpFq{0}{1}@@{-}{-N+\iunit\nu}{(x+\iunit)t}\,\HyperpFq{0}{1}@@{-}{-N-\iunit\nu}{(x-\iunit)t}\right]_N {}=\sum_{n=0}^N\frac{\pochhammer{n-2N-1}{n}}{\pochhammer{-N+\iunit\nu}{n}\pochhammer{-N-\iunit\nu}{n}n!}\pseudoJacobi{n}@{x}{\nu}{N}t^n }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {{}_{p}F_{q}}}}  : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1
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 \Sigma}}  : sum : http://drmf.wmflabs.org/wiki/Definition:sum
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a)_n}}  : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle P_{n}}}  : pseudo Jacobi polynomomal : http://drmf.wmflabs.org/wiki/Definition:pseudoJacobi

Bibliography

Equation in Section 9.9 of KLS.

URL links

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<< Formula:KLS:09.09:12

formula in Pseudo Jacobi

Formula:KLS:09.09:14 >>