A first-order 2 × 2 system equivalent to the Heun equation is obtained. A deformed Heun equation in symmetric form is presented. Series solutions of this equation are presented. A four-parameter subfamily of deformed confluent Heun equations whose solutions have integral representations is found.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 432, 2015, pp. 162–176.
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Kazakov, A.Y., Slavyanov, S.Y. Representations and Use of Symbolic Computations in the Theory of Heun Equations. J Math Sci 209, 910–921 (2015). https://doi.org/10.1007/s10958-015-2537-8
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DOI: https://doi.org/10.1007/s10958-015-2537-8