Solution of laguerre polynomials

[dinar_heu]

Hi everybody!

Recently, I meet a problem about laguerre function~
this is a website about it.
http://mathworld.wolfram.com/LaguerrePolynomial.html

But I found a interesting problem in a materials:

solution of laguerre polynomicals:

n = 3/4; k= 1;

one gave the polynomials:

xy'' + (1-x)y' + ny = 0

no detail infomation about this.

I remeber that the n should be a integrals.
so, what about the L's curve?