# §28.24 Expansions in Series of Cross-Products of Bessel Functions or Modified Bessel Functions

Throughout this section and , .

Also, with and denoting the modified Bessel functions (§10.25(ii)), and again with ,

The expansions (28.24.1)–(28.24.13) converge absolutely and uniformly on compact sets of the -plane.

For further power series of Mathieu radial functions of integer order for small parameters and improved convergence rate see Larsen et al. (2009).