I have to resolve an equation with a generalized laguerre polynomial.
I wrote the parameters in mathematica and i tried to use Solve and Nsolve in order to resolve it.
Here is my code :
NSolve[( 1 - t (k*l^2/R) )*
LaguerreL[( (k^2*l^2/2) - (m + 1)), m, R^2/(2*l^2)] +
LaguerreL[( (k^2*l^2/2) - (m + 2)), m + 1, R^2/(2*l^2)] == 0, k]
And it answers :
NSolve::nsmet: This system cannot be solved with the methods available to NSolve.
How can i solve this equation ?