From Wikipedia, the free encyclopedia
A Lommel polynomial Rm,ν(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
References
-
Erdélyi, Arthur;
Magnus, Wilhelm; Oberhettinger, Fritz; Tricomi, Francesco G. (1953),
Higher transcendental functions. Vol II (PDF), McGraw-Hill Book Company, Inc., New York-Toronto-London,
MR
0058756
- Ivanov, A. B. (2001) [1994],
"Lommel polynomial",
Encyclopedia of Mathematics,
EMS Press