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A procedure is proposed to construct solutions of the double confluent Heunequation with a determinate behaviour at the singular points. The connectionfactors are expressed as quotients of Wronskians of the involved solutions.Asymptotic expansions are used in the computation of those Wronskians. Thefeasibility of the method is shown in an example, namely, the Schroedingerequation with a quasi-exactly-solvable potential.

An algorithm to obtain global solutions of the double confluent Heun equation