Can anyone help me to solve integral of function exp(i alfa x)P_n(x)dx

in limits form -1 to 1

where P_n(x) is legendre polynomial.

Solution sholud be

sqr(2pi/alfa)iJ_n+1/2(alfa)

where J_n+1/2(alfa)

is modifided bessel function

pls help!

and sorry that i written it like this but i forgot how to use latex