Formula:KLS:09.13:02

<< Formula:KLS:09.13:01

formula in Bessel

Formula:KLS:09.13:03 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \BesselPoly{n}@{x}{a}=\pochhammer{n+a+1}{n}\left(\frac{x}{2}\right)^n\,\HyperpFq{1}{1}@@{-n}{-2n-a}{\frac{2}{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 y_{n}}}  : Bessel polynomial : http://dlmf.nist.gov/18.34#E1
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}F_{q}}}}  : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

Bibliography

Equation in Section 9.13 of KLS.

URL links

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formula in Bessel

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