Formula:KLS:09.07:13

<< Formula:KLS:09.07:12

formula in Meixner-Pollaczek

Formula:KLS:09.07:14 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (1-\expe^{\iunit\phi}t)^{-\lambda+\iunit x}(1-\expe^{-\iunit\phi}t)^{-\lambda-\iunit x}= \sum_{n=0}^{\infty}\MeixnerPollaczek{\lambda}{n}@{x}{\phi}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 \mathrm{e}}}  : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
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 P^{(\alpha)}_{n}}}  : Meixner-Pollaczek polynomial : http://dlmf.nist.gov/18.19#P3.p1

Bibliography

Equation in Section 9.7 of KLS.

URL links

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<< Formula:KLS:09.07:12

formula in Meixner-Pollaczek

Formula:KLS:09.07:14 >>