Results 21 to 30 of about 6,503,100 (217)

Studies of Differences from the point of view of Nevanlinna Theory [PDF]

Transactions of the American Mathematical Society, 2020
This paper consists of three parts. First, we give so far the best condition under which the shift invariance of the counting function, and of the characteristic of a subharmonic function, holds. Second, a difference analogue of logarithmic derivative of
Jianhua Zheng, Risto Korhonen
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Difference Nevanlinna theories with vanishing and infinite periods [PDF]

, 2017
By extending the idea of a difference operator with a fixed step to varying-steps difference operators, we have established a difference Nevanlinna theory for meromorphic functions with the steps tending to zero (vanishing period) and a difference ...
Chiang, Yik-Man, Luo, Xudan
core   +2 more sources

A Toda lattice in dimension 2 and Nevanlinna theory [PDF]

J. Math. Phys., Anal. Geom. 31 (2007) 39-46, 2004
It is shown how to study the 2-D Toda system for SU(n+1) using Nevanlinna theory of meromorphic functions and holomorphic curves. The results generalize recent results of Jost - Wang and Chen - Li.
Alexandre Erëmenko
arxiv   +3 more sources

Tropical Nevanlinna theory and second main theorem [PDF]

, 2009
We present a version of the tropical Nevanlinna theory for real-valued, continuous, piecewise linear functions on the real line. In particular, a tropical version of the second main theorem is proved.
Laine, Ilpo, Tohge, Kazuya
core   +2 more sources

Classical 𝑝-adic Nevanlinna theory and Nevalinna Theory out of a hole [PDF]

, 2018
In the first section called Classical theory, we recall basic properties of the analytic and meromorphic functions, Motzkin’s factoraization of analytic elements and the classical p-adic Nevanlinna theory.
Alain Escassut, Ta Thi Hoai An
openalex   +2 more sources

Tropical variants of some complex analysis results [PDF]

arXiv, 2016
Tropical Nevanlinna theory studies value distribution of continuous piecewise linear functions of a real variable. In this paper, we use the reasoning from tropical Nevanlinna theory to present tropical counterparts of some classical complex results ...
Laine, Ilpo, Liu, Kai, Tohge, Kazuya
core   +2 more sources

Entire functions sharing a small function with their two difference operators [PDF]

Advances in Difference Equations, 2017
In this article, we deduce a uniqueness result of entire functions that share a small entire function with their two difference operators, generalizing some previous theorems of (Farissi et al. in Complex Anal. Oper.
Feng Lü, Yanfeng Wang, Junfeng Xu
doaj   +2 more sources

Nevanlinna theory of the Askey–Wilson divided difference operator [PDF]

, 2018
Yik‐Man Chiang, Shaoji Feng
openalex   +3 more sources

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
doaj   +1 more source

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.
doaj   +1 more source