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On the algebraic properties of solutions of inhomogeneous hypergeometric equations

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Abstract

Generalized hypergeometric differential equations of arbitrary order are considered. Necessary and sufficient conditions for the algebraic independence of solutions of collections of such equations, as well as of their values at algebraic points, are obtained.

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Correspondence to V. A. Gorelov.

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Original Russian Text © V. A. Gorelov, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 5, pp. 658–672.

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Gorelov, V.A. On the algebraic properties of solutions of inhomogeneous hypergeometric equations. Math Notes 99, 663–675 (2016). https://doi.org/10.1134/S0001434616050059

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  • DOI: https://doi.org/10.1134/S0001434616050059

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