Results 11 to 20 of about 5,956,521 (263)
Topics in Nevanlinna Theory [PDF]
, 1990 Nevanlinna Theory is a powerful quantitative tool used to study the growth and behaviour of meromorphic functions on the complex plane. It plays an important role in value distribution theory, including generalising Picard's theorem that an entire function which omits two finite values is constant. The Nevanlinna Characteristic T(r,f) is a measure of a
Jana Vogel
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On the Nevanlinna′s Theory for Vector‐Valued Mappings [PDF]
Abstract and Applied Analysis, 2010 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.
Zuxing Xuan, Nan Wu
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An extension of the Nevanlinna theory [PDF]
Acta Mathematica, 1975 Boris Korenblum
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Nevanlinna theory via holomorphic forms [PDF]
Pacific Journal of Mathematics, 2022 . This paper re-develops Nevanlinna theory for meromorphic functions on C in the viewpoint of holomorphic forms. According to our observation, Nevanlinna’s functions can be formulated by a holomorphic form.
Xianjing Dong, Shuangshuang Yang
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Finite and infinite order of growth of solutions to linear differential equations near a singular point [PDF]
Mathematica Bohemica, 2021 In this paper, we investigate the growth of solutions of a certain class of linear differential equation where the coefficients are analytic functions in the closed complex plane except at a finite singular point.
Samir Cherief, Saada Hamouda
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On Some New Results in Large Area Nevanlinna Spaces in the Unit Disk
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 The study of various infinite products in various spaces of analytic functions in the unit disk is a well known and well studied problem of complex function theory in the unit disk.
Shamoyan, R., Mihi´c, O.
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AIMS Mathematics, 2021 By making use of the Nevanlinna theory and difference Nevanlinna theory of several complex variables, we investigate some properties of the transcendental entire solutions for several systems of partial differential difference equations of Fermat type ...
Hong Li , Keyu Zhang, Hongyan Xu
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On meromorphic solutions of certain differential-difference equations
AIMS Mathematics, 2021 In this article, we mainly use Nevanlinna theory to investigate some differential-difference equations. Our results about the existence and the forms of solutions for these differential-difference equations extend the previous theorems given by Wang, Xu ...
Yong Liu, Chaofeng Gao, Shuai Jiang
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Is Nevanlinna theory dead?---an essay
Irish Mathematical Society Bulletin, 1983 Richard M. Timoney
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A fundamental theorem for algebroid function in k-punctured complex plane
AIMS Mathematics, 2021 The main purpose of this article is to study the value distribution of algebroid function in the k-punctured complex plane. We establish the second fundamental theorems for algebroid function concerning small algebroid functions in the k-punctured ...
Hong Yan Xu +3 more
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