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MR2415336 39A13 (33D15 65Q05)
Duval, Anne; Roques, Julien Familles fuchsiennes d'équations aux ($q$-)différences et confluence. (French) [Fuchsian families of ($q$-)difference equations and confluence] Bull. Soc. Math. France 136 (2008), no. 1, 67–96.
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