{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:42:03Z","timestamp":1750308123246,"version":"3.41.0"},"reference-count":10,"publisher":"Association for Computing Machinery (ACM)","issue":"2","license":[{"start":{"date-parts":[[1981,5,1]],"date-time":"1981-05-01T00:00:00Z","timestamp":357523200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGSAM Bull."],"published-print":{"date-parts":[[1981,5]]},"abstract":"<jats:p>Numerous investigations on integration in finite form of Abelian integrals are based on theorems of Liouville [6,7,8] and Abel [1].<\/jats:p>","DOI":"10.1145\/1089257.1089261","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"20-32","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["A general investigation of integration in finite form of differential equations of the first order article 1"],"prefix":"10.1145","volume":"15","author":[{"given":"D.","family":"Mordukhai-Boltovskoi","sequence":"first","affiliation":[{"name":"SUNY at Albany, Albany, NY"}]},{"given":"Boris","family":"Korenblum","sequence":"additional","affiliation":[{"name":"SUNY at Albany, Albany, NY"}]},{"given":"Myra","family":"Prelle","sequence":"additional","affiliation":[{"name":"University of Lowell, Lowell, MA"}]}],"member":"320","published-online":{"date-parts":[[1981,5]]},"reference":[{"key":"e_1_2_1_1_1","unstructured":"J. de Crelle 1829 4 th\u00e9orie des fonctions elliptiques"},{"key":"e_1_2_1_2_1","unstructured":"Fuchs Sitzungber. der Berliner Akademie (1884) p. 1171.  Fuchs Sitzungber. der Berliner Akademie (1884) p. 1171."},{"key":"e_1_2_1_3_1","first-page":"89","article-title":"Uber die Reduction Abelscher Integrale aut niedere integralformen speciell auf elliptische integrale","volume":"89","year":"1880","unstructured":"K\u00f6nigsberger . Uber die Reduction Abelscher Integrale aut niedere integralformen speciell auf elliptische integrale , J. de Crelle , 89 ( 1880 ), p. 89 . K\u00f6nigsberger. Uber die Reduction Abelscher Integrale aut niedere integralformen speciell auf elliptische integrale, J. de Crelle, 89 (1880), p. 89.","journal-title":"J. de Crelle"},{"volume-title":"Leipzig","year":"1888","key":"e_1_2_1_4_1","unstructured":"K\u00f6nigsberger, Allgemeine Untersuchungen aus der Theorie der Differentialgleichungen , Leipzig , 1888 (and several papers in J. de Crelle). K\u00f6nigsberger, Allgemeine Untersuchungen aus der Theorie der Differentialgleichungen, Leipzig, 1888 (and several papers in J. de Crelle)."},{"key":"e_1_2_1_5_1","first-page":"2","article-title":"Studies on {integrating} factors of differential equations of first order","volume":"24","author":"Korkin A. N.","year":"1904","unstructured":"A. N. Korkin , \" Studies on {integrating} factors of differential equations of first order \", Moscow Math. Cbornik , 24 , 2 ( 1904 ), p. 194. A. N. Korkin, \"Studies on {integrating} factors of differential equations of first order\", Moscow Math. Cbornik, 24, 2 (1904), p. 194.","journal-title":"Moscow Math. Cbornik"},{"key":"e_1_2_1_6_1","first-page":"342","article-title":"Int\u00e9grals dont la valeur est alg\u00e9brigue","volume":"10","year":"1833","unstructured":"Liouville , Int\u00e9grals dont la valeur est alg\u00e9brigue . J. de Crelle , 10 ( 1833 ), p. 342 . Liouville, Int\u00e9grals dont la valeur est alg\u00e9brigue. J. de Crelle, 10 (1833), p. 342.","journal-title":"J. de Crelle"},{"key":"e_1_2_1_7_1","first-page":"124","article-title":"Sur la d\u00e9termination des integrals dont la valeur est alg\u00e9brique. J. Ecole Polytechnique 14","volume":"22","year":"1833","unstructured":"Liouville , Sur la d\u00e9termination des integrals dont la valeur est alg\u00e9brique. J. Ecole Polytechnique 14 . Ch 22 ( 1833 ), p. 124 . Liouville, Sur la d\u00e9termination des integrals dont la valeur est alg\u00e9brique. J. Ecole Polytechnique 14. Ch 22 (1833), p. 124.","journal-title":"Ch"},{"key":"e_1_2_1_8_1","unstructured":"J. de Crelle 1835 13 classe des fonctions trancendantes"},{"key":"e_1_2_1_9_1","first-page":"56","article-title":"M\u00e9moire sur la classification des transcentantes, etc","volume":"2","year":"1837","unstructured":"Liouville , M\u00e9moire sur la classification des transcentantes, etc . J. de Liouville 2 ( 1837 ), p. 56 . Liouville, M\u00e9moire sur la classification des transcentantes, etc. J. de Liouville 2(1837), p. 56.","journal-title":"J. de Liouville"},{"volume-title":"Notices Warsaw Poly. Inst., Part 1, Ch 1, paragraphs 15 to 23","year":"1905","key":"e_1_2_1_10_1","unstructured":"Mordukhai-Boltovskoi , On reduction of Abelian integrals to lower transcendentals , Notices Warsaw Poly. Inst., Part 1, Ch 1, paragraphs 15 to 23 ( 1905 ). Mordukhai-Boltovskoi, On reduction of Abelian integrals to lower transcendentals, Notices Warsaw Poly. Inst., Part 1, Ch 1, paragraphs 15 to 23 (1905)."}],"container-title":["ACM SIGSAM Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1089257.1089261","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1089257.1089261","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T16:08:22Z","timestamp":1750262902000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1089257.1089261"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981,5]]},"references-count":10,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1981,5]]}},"alternative-id":["10.1145\/1089257.1089261"],"URL":"https:\/\/doi.org\/10.1145\/1089257.1089261","relation":{},"ISSN":["0163-5824"],"issn-type":[{"type":"print","value":"0163-5824"}],"subject":[],"published":{"date-parts":[[1981,5]]},"assertion":[{"value":"1981-05-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}