Algebraic differential equations of Clairaut type from the differential-algebraic standpoint

Keiji NISHIOKA

doi:10.2969/jmsj/03130553

Keiji NISHIOKA

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JOURNAL FREE ACCESS

1979 Volume 31 Issue 3 Pages 553-559

DOI https://doi.org/10.2969/jmsj/03130553

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Published: 1979 Received: January 17, 1978 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Hurwitz, Ueber algebraische Gebilde mit eindeutigen Transformationen in sick, Math. Ann., 41 (1892), 401-442.
2) K. Iwasawa, Theory of algebraic function fields (in Japanese), Iwanami Shoten, Tokyo, 1952.
3) M. Matsuda, Algebraic differential equations of the first order free from parametric singularities from the differential-algebraic standpoint, J. Math. Soc. Japan, 30 (1978), 447-455.
4) M. Matsuda, Lectures on algebraic differential equations of the first order, preprint.
5) K. Nishioka, Transcendental constants over the coefficient fields in differential elliptic function fields, Pacific J. Math., 74 (1978), 191-197.
6) P. Painlevé, Leçons sur la théorie analytique des équations différentielles, professées à Stockholm, Paris, 1897.
7) M. Rosenlicht, The nonminimality of the differential closure, Pacific J.Math., 52 (1974), 529-537.
8) L. Schlesinger, Einführung in die Theorie der gewöhnlichen Differentialgleichungen auf functionentheorisher Grundlage, Walter de Gruyter, 1922.

Right : [1] A. Hurwitz, Ueber algebraische Gebilde mit eindeutigen Transformationen in sich, Math. Ann., 41 (1892), 401-442.
[2] K. Iwasawa, Theory of algebraic function fields (in Japanese), Iwanami Shoten, Tokyo, 1952.
[3] M. Matsuda, Algebraic differential equations of the first order free from parametric singularities from the differential-algebraic standpoint, J. Math. Soc. Japan, 30 (1978), 447-455.
[4] M. Matsuda, Lectures on algebraic differential equations of the first order, preprint.
[5] K. Nishioka, Transcendental constants over the coefficient fields in differential elliptic function fields, Pacific J. Math., 74 (1978), 191-197.
[6] P. Painlevé, Leçons sur la théorie analytique des équations différentielles, professées à Stockholm, Paris, 1897.
[7] M. Rosenlicht, The nonminimality of the differential closure, Pacific J.Math., 52 (1974), 529-537.
[8] L. Schlesinger, Einführung in die Theorie der gewöhnlichen Differentialgleichungen auf functionentheorisher Grundlage, Walter de Gruyter, 1922.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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