Geodesic
Representations and use of symbolic computations in the theory of Heun equations
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Tome 432 (2015), pp. 162-176 Cet article a éte moissonné depuis la source Math-Net.Ru

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A first-order $2\times2$ 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 equation whose solutions have integral representations is found. 
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A. Ya. Kazakov; S. Yu. Slavyanov. Representations and use of symbolic computations in the theory of Heun equations. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Tome 432 (2015), pp. 162-176. http://geodesic.mathdoc.fr/item/ZNSL_2015_432_a9/

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