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Generalized hypergeometric solutions of the Heun equation (1802.04263v2)
Published 12 Feb 2018 in math.CA
Abstract: 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 should be a non-zero integer, and the accessory parameter must satisfy a polynomial equation.
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