Abstract
We apply the Kovacic algorithm to some families of special functions, mainly the hypergeometric one and that of Heun, in order to discuss the existence of closed-form solutions. We begin by giving a slightly modified version of the Kovacic algorithm and a sketch proof.
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Duval, A., Loday-Richaud, M. Kovacic's algorithm and its application to some families of special functions. AAECC 3, 211–246 (1992). https://doi.org/10.1007/BF01268661
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DOI: https://doi.org/10.1007/BF01268661