Geodesic
Three families of functions of complexity one
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 4, pp. 416-426

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Three rare families of functions of analytic complexity one were studied. Main results are the description of linear differential equations with solutions of complexity one (Theorem 2), the description of $L$-pairs of complexity one (Theorem 5), the description of $O(2)$-simple functions (Theorem 7).
Keywords: rare family, analytic complexity. 
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     title = {Three families of functions of complexity one},
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Valery K. Beloshapka. Three families of functions of complexity one. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 4, pp. 416-426. http://geodesic.mathdoc.fr/item/JSFU_2016_9_4_a1/