Confluent Heun equations: convergence of solutions in series of coulomb wavefunctions

@article{ElJaick2013ConfluentHE,
  title={Confluent Heun equations: convergence of solutions in series of coulomb wavefunctions},
  author={L{\'e}a Jaccoud El-Jaick and Bartolomeu D. B. Figueiredo},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2013},
  volume={46}
}
The Leaver solutions in series of Coulomb wavefunctions for the confluent Heun equation are given by two-sided infinite series, that is, by series where the summation index n runs from minus to plus infinity (Leaver 1986 J. Math. Phys.27 1238). First we show that, in contrast to the D’Alembert test, under certain conditions the Raabe test ensures that the domains of convergence of these solutions include an additional singular point. We also consider solutions for a limit of the confluent Heun… 
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