D. Mordukhai-Boltovskoi
Abstract
Numerous investigations on integration in finite form of Abelian integrals are based on theorems of Liouville [6,7,8] and Abel [1].
- Abel, Précis d'une théorie des fonctions elliptiques. J. de Crelle 4 (1829).Google Scholar
- Fuchs, Sitzungber. der Berliner Akademie (1884), p. 1171.Google Scholar
- Königsberger. Uber die Reduction Abelscher Integrale aut niedere integralformen speciell auf elliptische integrale, J. de Crelle, 89 (1880), p. 89.Google Scholar
- Königsberger, Allgemeine Untersuchungen aus der Theorie der Differentialgleichungen, Leipzig, 1888 (and several papers in J. de Crelle).Google Scholar
- A. N. Korkin, "Studies on {integrating} factors of differential equations of first order", Moscow Math. Cbornik, 24, 2 (1904), p. 194.Google Scholar
- Liouville, Intégrals dont la valeur est algébrigue. J. de Crelle, 10 (1833), p. 342.Google Scholar
- Liouville, Sur la détermination des integrals dont la valeur est algébrique. J. Ecole Polytechnique 14. Ch 22 (1833), p. 124.Google Scholar
- Liouville, Mémoire sur 1'integration d'une classe des fonctions trancendantes. J. de Crelle, 13 (1835).Google Scholar
- Liouville, Mémoire sur la classification des transcentantes, etc. J. de Liouville 2(1837), p. 56.Google Scholar
- Mordukhai-Boltovskoi, On reduction of Abelian integrals to lower transcendentals, Notices Warsaw Poly. Inst., Part 1, Ch 1, paragraphs 15 to 23 (1905).Google Scholar
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