On the Nevanlinna′s Theory for Vector‐Valued Mappings
Copyright policy )On the Nevanlinna′s Theory for Vector‐Valued Mappings
The purpose of this paper is to establish the first and second fundamental theorems for an E‐valued meromorphic mapping from a generic domain D ⊂ ℂ to an infinite dimensional complex Banach space E with a Schauder basis. It is a continuation of the work of C. Hu and Q. Hu. For f(z) defined in the disk, we will prove Chuang′s inequality, which is to compare the relationship between T(r, f) and T(r, f′). Consequently, we obtain that the order and the lower order of f(z) and its derivative f′(z) are the same.
- Tsinghua University China (People's Republic of)
- Beihua University China (People's Republic of)
- Beijing Union University China (People's Republic of)
order of a mapping, meromorphic vector-valued mapping, QA1-939, lower order of a mapping, Mathematics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
order of a mapping, meromorphic vector-valued mapping, QA1-939, lower order of a mapping, Mathematics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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