Advanced Search

Question: compute a series depending of Laguerre polynomials, is it possible?

Question:compute a series depending of Laguerre polynomials, is it possible?

Pio29 8
infinity student
June 18 2009
0
Hi everybody, I have the following problem: If I denote by : He:=(n,k,x)->(-1)^n*(n!)^(1/2)* (GAMMA(n+k+(1/2)))^(-1/2)* LaguerreL(n,k-(1/2),x^2); and Ho:=(n,k,x)->(-1)^n*(n!)^(1/2)* (GAMMA(n+k+(3/2)))^(-1/2)*x* LaguerreL(n,k+(1/2),x^2); Can I compute the series: sum(He(n,k,x)+Ho(n,k,x),n=0..infinity); Using Maple. Thanks
Please Wait...