Author: "Zhaojun Wu" / Publisher: hindawi limited - Searchworks@Jio Institute Digital Library Search Results

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Author: Zhaojun Wu and Zuxing Xuan
Subjects: Technology, Medicine, Science
Abstract: The main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis. As an application, we study the Borel exceptional values of an E-valued meromorphic function and those of its derivatives; results are obtained to extend some related results for meromorphic scalar-valued function of Singh, Gopalakrishna, and Bhoosnurmath.
Published: 2014
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Author: Yuxian Chen, Zhaojun Wu, and Zuxing Xuan
Subjects: Pure mathematics, Mathematics::Dynamical Systems, Article Subject, Mathematics::Complex Variables, Plane (geometry), lcsh:Mathematics, Mathematics::Differential Geometry, Fixed point, lcsh:QA1-939, Mathematics::Geometric Topology, Analysis, Mathematics, Meromorphic function
Abstract: The purpose of this paper is to investigate the fixed points of meromorphic functions in annuli. Some well-known facts of fixed points for meromorphic functions in the plane will be considered in annuli.
Published: 2015

Author: Zhaojun Wu and Zu-Xing Xuan
Subjects: Mathematics::Functional Analysis, Pure mathematics, Article Subject, Inequality, Mathematics::Complex Variables, lcsh:T, media_common.quotation_subject, lcsh:R, Banach space, lcsh:Medicine, General Medicine, Function (mathematics), Models, Theoretical, lcsh:Technology, General Biochemistry, Genetics and Molecular Biology, Schauder basis, lcsh:Q, lcsh:Science, Complex plane, Algorithms, Research Article, General Environmental Science, Mathematics, Meromorphic function, media_common
Abstract: The main purpose of this paper is to establish the Milloux inequality ofE-valued meromorphic function from the complex planeℂto an infinite dimensional complex Banach spaceEwith a Schauder basis. As an application, we study the Borel exceptional values of anE-valued meromorphic function and those of its derivatives; results are obtained to extend some related results for meromorphic scalar-valued function of Singh, Gopalakrishna, and Bhoosnurmath.
Published: 2014

Author: Zhaojun Wu and Zuxing Xuan
Subjects: Algebra, Pure mathematics, Borel equivalence relation, Article Subject, Applied Mathematics, lcsh:Mathematics, Banach space, lcsh:QA1-939, Analysis, Schauder basis, Mathematics, Meromorphic function
Abstract: The main purpose of this paper is to investigate the characteristic functions and Borel exceptional values ofE-valued meromorphic functions from theℂR={z:|z|
Published: 2012

Author: Zhaojun Wu, Yuxian Chen, and Zuxing Xuan
Subjects: MATHEMATICAL inequalities, MEROMORPHIC functions, EXISTENCE theorems, BLOCH constant, COMPUTER science
Abstract: By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain. As an application, we prove the existence of some new singular directions for a meromorphic function f, namely a Bloch direction and a pseudo-T direction for f. [ABSTRACT FROM AUTHOR]
Published: 2014
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Author: Zhaojun Wu and Hongyan Xu
Subjects: FIXED point theory, MEROMORPHIC functions, PROOF theory, NEVANLINNA theory, MATHEMATICAL complex analysis
Abstract: Let f be a transcendental meromorphic function of order less than one. The authors prove that the exact difference Δf = f(z + 1) -f(z) has infinitely many fixed points, if a ∈ C and ∞ are Borel exceptional values (or Nevanlinna deficiency values) of f. These results extend the related results obtained by Chen and Shon. [ABSTRACT FROM AUTHOR]
Published: 2014
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