Resumo
Firstly, we construct kernels for integral relations among solutions of theconfluent Heun equation (CHE). Additional kernels are systematically
generated by applying substitutions
of variables. Secondly, we establish integral
relations between known solutions of the CHE that are power series and
solutions that are series of special functions. Thirdly,
by using one of the integral relations as an integral transformation
we obtain a new series solution of the ordinary spheroidal wave equation (a particular CHE).
>From this solution we construct new series solutions of the general CHE, and show
that these are suitable for solving the radial part of the two-center problem in
quantum mechanics.