Abstract
In this paper, we extend the general defect relation of the associated curves of a non-degenerate holomorphic curve to moving targets. Our results also improve the corresponded defect relations of Stoll for the associated mappings.
The work of first author was partially supported by N.N.S.F. of China.
The work of second author was partially supported by a UGC grant of Hong Kong.
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References
Chuang, C. T., Uné généralisation d’une inégalité de Nevanlinna, Scientia Sinica 13 (1964), 887–895.
Dufresnoy, J., Sur les valeurs exceptionelles des fonctions méromorphes voisines d’une fonction méromorphe donnée, CR Acad. Sci. Paris 208 (1939), 255–257.
Frank, G. and Weissenborn, G., Rational deficient functions of meromorphic functions, Bull. London Math. Soc. 18 (1986), 29–33.
Hu, P. C., A modified defect relation for holomorphic curves, Kodai Math. J. 13 (1990), 349–362.
Mori, S., Remarks on holomorphic mappings, Contempory Math. 25 (1983), 101–114.
Nevanlinna, R., Le théorème de Picard-Borel et la théorie des fonctions meromorphes, Grauthier Villars Paris, 1929.
Osgood, C. F., Sometimes effective Thue-Siegel-Roth-SchmidtNevanlinna bounds or better, J. Number Theory 21 (1985), 347–389.
Osgood, C. F., A fully general Nevanlinna N-small function theorem and a Sometimes effective Thue-Siegel-Roth-Schmidt theorem for solution to linear differential equations, Contemp. Math. 25 (1983), 129–130.
Ru, M. and Stoll, W., The second main theorem for moving targets, J. of Geom. Analysis 1 (1991), 99–138.
Shifl’ivan, B., New defect relations for meromorphic functions on ℂm, Bull. Amer. Math. Soc. 7 (1982), 599–601.
Shiffman, B., A general second main theorem for meromorphic functions on Cm, Amer. J. Math. 106 (1984), 509–531.
Steinmetz, N., Eine Verallgemeinerung des zweiten Nevanlinnaschen Hauptsatzes, J. Reine Angew. Math. 368 (1986), 134–141.
Stoll, W., Value distribution on parabolic spaces, Lecture Notes in Math. 600, Springer, 1977.
Stoll, W., Value distribution theory for meromorphic maps, Asp. Math. E7, 1985.
Stoll, W., Value distribution theory for moving targets, Complex Analysis and Algebraic Geometry (Proceedings, Göttingen, 1985), Lecture Notes in Math. 1194, 214–235, Springer.
Wu, H., The equidistribution theory of holomorphic curves, Annals of Math. Studies 64 (1970), Princeton Univ. Press, Princeton, NJ.
Yang, L., Deficient functions of meromorphic functions, Scientia Sinica 24 (1981), 1179–1189.
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Hu, PC., Yang, CC. (2000). Defect Relations for Moving Targets. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_35
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DOI: https://doi.org/10.1007/978-1-4613-0269-8_35
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