Compute Infinite sum of Zero Order modified Bessel Function with COS

80 Views Asked by At

I am looking for the close integral series expression of following Modified Bessel Function. $T(r,z)=\sum_{i=0}^n[C_1I_0(\lambda_nr)+C_2K_0(\lambda_nr)]cos(\lambda_nz)$

I didn't find a closed expression for this quantity in the literature right now. Could anyone give me some suggestion?