Help me improve a formula for Laguerre polynomial

[dragonbahamut]

Please help me !

How can I prove the fomual

integral(0,x){[(x-t)^m].L(0,n)(t).dt} = m!.n!.[x^(m+1)].L(m+1,n)(x)/(m+n+1)!

in this, L(0,n) is Laguerre polynomial n with level 0.
L(m+1,n) is Laguerre polynomial n with level m + 1.

Any hints would be appreciated.

 

[kvsm2k]

Laguerre polynomial

You can get the solution of that in the book of "Engineering mathematics" by Grawel or B.Sc. Maths-Numerical analysis.