Results 51 to 60 of about 10,733,006 (284)

Some New Results on Fixed Points of Meromorphic Functions Defined in Annuli

Journal of Function Spaces, 2015
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.
Zhaojun Wu, Zuxing Xuan, Yuxian Chen
doaj   +1 more source

Arc-meromorphous functions

Annales Polonici Mathematici, 2021
International ...
Kucharz, Wojciech, Kurdyka, Krzysztof
openaire   +3 more sources

On the algebraicity of germs of meromorphic functions [PDF]

arXiv, 2023
In this article we prove that every germ of analytic meromorphic function at $(\mathbb{C}^{2},0)$ is equivalent, under the right composition by a germ of biholomorphism, to a germ of algebraic meromorphic function. An analogous result is also true for real analytic meromorphic functions.
arxiv  

Normal Families and Growth of Meromorphic Functions with Their Kth Derivatives

Journal of Function Spaces, 2018
Relying on the normal family theory, we mainly study uniqueness problems of meromorphic functions and their kth derivatives and estimate sharply the growth order of their meromorphic functions. Our theorems improve some previous results.
Jianming Qi, Fanning Meng, Wenjun Yuan
doaj   +1 more source

Applications of Mittag–Leffler Functions on a Subclass of Meromorphic Functions Influenced by the Definition of a Non-Newtonian Derivative

Fractal and Fractional
In this paper, we defined a new family of meromorphic functions whose analytic characterization was motivated by the definition of the multiplicative derivative.
Daniel Breaz, Kadhavoor R. Karthikeyan, Gangadharan Murugusundaramoorthy   +2 more
doaj   +1 more source

On the Uniqueness of Meromorphic Functions on Annuli in terms of Deficiencies

Journal of Function Spaces, 2020
The purpose of this article is to study the uniqueness of meromorphic functions on annuli. Under a certain condition about deficiencies, we prove some new uniqueness theorems of meromorphic functions on the annulus A=z:1 ...
Dawei Meng, Nan Lu, Sanyang Liu
doaj   +1 more source

Difference Nevanlinna theories with vanishing and infinite periods

, 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   +1 more source

Applications of Higher-Order q-Derivative to Meromorphic q-Starlike Function Related to Janowski Function

Axioms, 2022
By making use of a higher-order q-derivative operator, certain families of meromorphic q-starlike functions and meromorphic q-convex functions are introduced and studied.
Likai Liu, Rekha Srivastava, Jin-Lin Liu
doaj   +1 more source

Exact meromorphic solutions of Schwarzian differential equations [PDF]

arXiv, 2021
This paper studies exact meromorphic solutions of the autonomous Schwarzian differential equations. All transcendental meromorphic solutions of five canonical types (among six) of the autonomous Schwarzian differential equations are constructed explicitly. In particular, the solutions of four types are shown to be elliptic functions.
arxiv  

General infinitesimal variations of the Hodge structure of ample curves in surfaces

Mathematische Nachrichten, EarlyView.
Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley   +1 more source