Geodesic
On hypergeometric functions of two variables of complexity one
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 175-188

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For a series of examples of Horn systems and the Lauricella system for functions of two variables the description of solution of complexity one is given. Several questions are formulated.
Keywords: analytical complexity,hypergeometric functions, Horn system, Lauricella system, differential ring. 
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Valerii K. Beloshapka. On hypergeometric functions of two variables of complexity one. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 175-188. http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a3/