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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Monodromy groups for higher-order differential equations


Author: Dennis A. Hejhal
Journal: Bull. Amer. Math. Soc. 81 (1975), 590-592
MSC (1970): Primary 30A58
MathSciNet review: 0364630
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  • 1. P. Appell, E. Goursat and P. Fatou, Théorie des fonctions algébriques. Vol. 2, Gauthier-Villars, Paris, 1930.
  • 2. A. R. Forsyth, Theory of differential equations. Vol. 4, Cambridge Univ. Press, Cambridge, 1902.
  • 3. Dennis A. Hejhal, Theta functions, kernel functions, and Abelian integrals, American Mathematical Society, Providence, R.I., 1972. Memoirs of the American Mathematical Society, No. 129. MR 0372187 (51 #8403)
  • 4. Dennis A. Hejhal, Monodromy groups and linearly polymorphic functions, Discontinuous groups and Riemann surfaces (Proc. Conf., Univ. Maryland, College Park, Md., 1973) Princeton Univ. Press, Princeton, N.J., 1974, pp. 247–261. Ann. of Math. Studies, No. 79. MR 0355035 (50 #7512)
  • 5. H. Poincaré, Mémoire sur les fonctions zétafuchsiennes, Acta Math. 5 (1884), no. 1, 209–278 (French). MR 1554656, http://dx.doi.org/10.1007/BF02421560
  • 6. L. Schlesinger, Handbuch der Theorie der linearen Differentialgleichungen. Vol. 2, B. G. Teubner, Leipzig, 1897.
  • 7. Costake Teleman, Sur les structures fibrées osculatrices d’une surface de Riemann, Comment. Math. Helv. 34 (1960), 175–184 (French). MR 0124850 (23 #A2160)
  • 8. E. Wilczynski, Projective differential geometry of curves and ruled surfaces, B. G. Teubner, Leipzig, 1906.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1975-13748-7
PII: S 0002-9904(1975)13748-7