dragonbahamut
Newbie level 1
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.
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.