Lommel polynomial
Encyclopedia
A Lommel polynomial Rm,ν(z), introduced by , 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
where Jν(z) is a Bessel function
Bessel function
In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y of Bessel's differential equation:...
of the first kind.
They are given explicitly by