Hello all,

( ) are the Lagurre polynomials. I would like to derive the following expression:

So far I have shown that the coefficients in any power series solution of will satisfy that:

Furthermore I have shown that

:Now, using indcution, I would like to show that

I have that for . Thus the basis for the induction is established. Now I assume that is true for a fixed and want to derive the case for . I have done the following:

I am stuck here. Suggestions would be greatly appreciated.

Thanks.