Geodesic
Generalized hypergeometric solutions of the~Heun equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 1, pp. 3-13

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We present infinitely many solutions of the general Heun equation in terms of generalized hypergeometric functions. Each solution assumes that two restrictions are imposed on the involved parameters: a characteristic exponent of one of the singularities must be a nonzero integer, and the accessory parameter must satisfy a polynomial equation.
Keywords: general Heun equation, generalized hypergeometric function, recurrence relation. 
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     author = {A. M. Ishkhanyan},
     title = {Generalized hypergeometric solutions of {the~Heun} equation},
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A. M. Ishkhanyan. Generalized hypergeometric solutions of the~Heun equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 1, pp. 3-13. http://geodesic.mathdoc.fr/item/TMF_2020_202_1_a0/