Tagged Questions
2
votes
2answers
234 views
Roots of the incomplete gamma function
Is there any way that one can describe all the roots of the incomplete gamma function $\Gamma(n,z)$, for $n\in \mathbb{N}$, analytically?
0
votes
1answer
249 views
Spherical Bessel Zero's
I was wondering if there is a known closed form solution for the zeros of the Spherical Bessel Functions. While doing a Quantum assignment I came across them as a solution for the spherical infinite ...
9
votes
1answer
245 views
density of roots of a family of polynomials: $(1-x^2)^{v+n}$
My research has brought me to the following, very general problem.
Given a fixed, but arbitrary, natural number, $\displaystyle v$, consider the following family of polynomials: The $\displaystyle ...
14
votes
5answers
2k views
Roots of Legendre Polynomial
I was wondering if the following properties of the Legendre polynomials are true in general. They hold for the first ten or fifteen polynomials.
Are the roots always simple (i.e., multiplicity $1$)?
...
