Concept information
Término preferido
Lommel polynomial
Definición
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A Lommel polynomial Rm,ν(z), introduced by Eugen von Lommel (1871), is a polynomial in 1/z giving the recurrence relation
where Jν(z) is a Bessel function of the first kind.
They are given explicitly by
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(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Lommel_polynomial)
![{\\displaystyle R_{m,\
u }(z)=\\sum _{n=0}^{[m/2]}{\ rac {(-1)^{n}(m-n)!\\Gamma (\
u +m-n)}{n!(m-2n)!\\Gamma (\
u +n)}}(z/2)^{2n-m}.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c01d46ac1e0813de47d962ee9ba94be163df843a)
Concepto genérico
En otras lenguas
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francés
URI
http://data.loterre.fr/ark:/67375/PSR-ZD1X01FM-W
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