zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
On the Nevanlinna’s theory for vector-valued mappings. (English) Zbl 1194.30035
Summary: The purpose of this paper is to establish the first and second fundamental theorems for E-valued meromorphic mappings from a generic domain D to an infinite dimensional complex Banach space E with a Schauder basis. This is a continuation of the work of C.-G. Hu and Q. Hu [Complex Var. Elliptic Equ. 51, No. 8–11, 777–791 (2006; Zbl 1183.30027)]. For f(z) defined in the disk, we will prove Chuang’s inequality, which compares 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.
30D35Distribution of values (one complex variable); Nevanlinna theory