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Lommel polynomial

From Wikipedia, the free encyclopedia

A Lommel polynomial Rm(z) is a polynomial in 1/z giving the recurrence relation

where Jν(z) is a Bessel function of the first kind.[1]

They are given explicitly by

See also

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References

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  1. ^ Eugen von Lommel (1871). "Zur Theorie der Bessel'schen Functionen". Mathematische Annalen. 4 (1). Berlin / Heidelberg: Springer: 103–116. doi:10.1007/BF01443302.