Hello.

I have a recurrence function that is defined as:

_f2m+1(r) = (2m+1)*f_2m(r)/a - r^2m+1*exp(-a*r)/a
_f1( r) = -(1+a*r)*exp(-a*r)/a²

I tried to solve this...

Hello, does soomeone knows how to calculate:

∫ BesselJ(ε, η x) x^n dx
∫ BesselY(ε, η x) x^n dx

and/or

∫ BesselJ(ε, η x) x exp(-a x) dx
∫ BesselY(ε, η x) x exp(-a x) dx

ε and n are positive integers

a is a positive non-integer

η is a positive non-integer imaginary number

Thanks!!

Hello.

I'm having serious problems in finding and saving the roots of this equation:

((.642*(-1.*BesselJ(2.250000000*m+1., 0.75e-2*a)+299.9999999*m*BesselJ(2.250000000*m, 0.75e-2*a)/a))*a-10.*BesselJ(2.250000000*m, 0.75e-2*a))*BesselY((9/4)*m, 0.2e-1*a)-((.642*(-1.*BesselY(2.250000000*m+1., 0.75e-2*a)+299.9999999*m*BesselY(2.250000000*m, 0.75e-2*a)/a))*a-10.*BesselY(2.250000000*m, 0.75e-2*a))*BesselJ((9/4)*m, 0.2e-1*a)

a is a eigenvalue...