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A hypersurface defect relation for a family of meromorphic maps on a generalized p-parabolic manifold

100%

Han Q.

Colloquium Mathematicum

2015

tom 139

nr 1

95-110

This paper establishes a hypersurface defect relation, that is, $∑_{j=1}^{q} δ(D_{j},f) ≤ (n+1)/d$, for a family of meromorphic maps from a generalized p-parabolic manifold M to the projective space ℙⁿ, under some weak non-degeneracy assumptions.

Some further results on meromorphic functions that share two sets

63%

Han Q., Yi H.-X.

Annales Polonici Mathematici

2008

tom 93

nr 1

17-31

This paper concerns the uniqueness of meromorphic functions and shows that there exists a set S ⊂ ℂ of eight elements such that any two nonconstant meromorphic functions f and g in the open complex plane ℂ satisfying $E_{3)}(S,f) = E_{3)}(S,g)$ and Ē(∞,f) = Ē(∞,g) are identical, which improves a result of H. X. Yi. Also, some other related results are obtained, which generalize the results of G. Frank, E. Mues, M. Reinders, C. C. Yang, H. X. Yi, P. Li, M. L. Fang and H. Guo, and others.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

2 Han Q.

1 Yi H.-X.

1 2015

1 2008

Wyniki wyszukiwania

A hypersurface defect relation for a family of meromorphic maps on a generalized p-parabolic manifold

Some further results on meromorphic functions that share two sets