Ramis, Jean-Pierre Confluence et résurgence. (Confluence and resurgence). (French) Zbl 0722.33003 J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 3, 703-716 (1989). The paper deals with the solutions of the hypergeometric equation in the generic case, where no solutions has logarithmic singularities, e.g., with the following questions: How do the singularities (located at 0, b, \(\infty)\) act on a fundamental system of solutions constructed on a given simply connected domain? What happens as \(b\to \infty\)? Cited in 1 ReviewCited in 15 Documents MSC: 33C20 Generalized hypergeometric series, \({}_pF_q\) 32G34 Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) 32S40 Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) PDFBibTeX XMLCite \textit{J.-P. Ramis}, J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 3, 703--716 (1989; Zbl 0722.33003)