Abstract
An algorithm is proposed for obtaining global solutions of the biconfluent Heun equation, which appears when dealing with a variety of physical problems. The procedure, which provides algebraic expressions of the solutions in the form of convergent series or asymptotic expansions, lies on the determination of the connection factors relating the solutions about the regular singular point at the origin and the irregular one at infinity. The algorithm is illustrated by examples.
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Ferreira, E.M., Sesma, J. Global solutions of the biconfluent Heun equation. Numer Algor 71, 797–809 (2016). https://doi.org/10.1007/s11075-015-0024-4
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DOI: https://doi.org/10.1007/s11075-015-0024-4