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On algebraic functions integrable in finite terms. (English. Russian original) Zbl 1327.30047
Funct. Anal. Appl. 49, No. 1, 50-56 (2015); translation from Funkts. Anal. Prilozh. 49, No. 1, 62-70 (2015).
Soit \(X\) une surface de Riemann. Cet article identifie et étudie le sous-espace vectoriel des différentielles méromorphes de \(X\) qui s’intègrent en une fonction élémentaire généralisée.

30F30 Differentials on Riemann surfaces
34M15 Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain
Full Text: DOI
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