Lommel polynomial
Appearance
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
See also
References
- Erdélyi, Arthur; Magnus, Wilhelm; Oberhettinger, Fritz; Tricomi, Francesco G. (1953), Higher transcendental functions. Vol II, McGraw-Hill Book Company, Inc., New York-Toronto-London, MR0058756
- Ivanov, A. B. (2001) [1994], "Lommel polynomial", Encyclopedia of Mathematics, EMS Press
- Lommel, Eugen von (1871), "Zur Theorie der Bessel'schen Functionen", Mathematische Annalen, 4 (1), Berlin / Heidelberg: Springer: 103–116, doi:10.1007/BF01443302