Generalized hypergeometric solutions of the Heun equation

A. M. Ishkhanyan

Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 1, pp. 3-13

Résumé

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.

Détail

Keywords: general Heun equation, generalized hypergeometric function, recurrence relation.

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