Results 51 to 60 of about 10,211,419 (281)

Arc-meromorphous functions

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

The uniqueness of meromorphic function shared values with meromorphic solutions of a class of q-difference equations

AIMS Mathematics
We first investigate the meromorphic solutions of a class of homogeneous second-order q-difference equations and the uniqueness problem for a meromorphic function with three shared values; then we discuss the uniqueness problem for the meromorphic ...
Zhuo Wang, Weichuan Lin
doaj   +1 more source

Meromorphic function sharing a small function with a linear differential polynomial [PDF]

Mathematica Bohemica, 2016
The problem of uniqueness of an entire or a meromorphic function when it shares a value or a small function with its derivative became popular among the researchers after the work of Rubel and Yang (1977).
Indrajit Lahiri, Amit Sarkar
doaj   +1 more source

Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives

, 2010
We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z.
Xiao-Min Li, H. Yi
semanticscholar   +1 more source

A meromorphic extension of the 3D Index

, 2018
Using the locally compact abelian group $\BT \times \BZ$, we assign a meromorphic function to each ideal triangulation of a 3-manifold with torus boundary components.
Garoufalidis, Stavros, Kashaev, Rinat
core   +1 more source

Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their q-Shift

Discrete Dynamics in Nature and Society, 2012
We investigate value distribution and uniqueness problems of meromorphic functions with their q-shift. We obtain that if f is a transcendental meromorphic (or entire) function of zero order, and Q(z) is a polynomial, then afn(qz)+f(z)−Q(z) has infinitely
Haiwa Guan, Gang Wang, Qiuqin Luo
doaj   +1 more source

Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions

Journal of Function Spaces, 2022
To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz, Luminița-Ioana Cotîrlă, Elangho Umadevi, Kadhavoor R. Karthikeyan   +3 more
doaj   +1 more source

An Inequality of Meromorphic Functions and Its Application

The Scientific World Journal, 2014
By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain.
Zhaojun Wu, Yuxian Chen, Zuxing Xuan
doaj   +1 more source

Meromorphic Function that Shares One Small Function with its Differential Polynomial

, 2010
In this paper, we investigate the uniqueness problems of meromorphic functions that share a small function with its differential polynomials, and give a result which is related to a conjecture of R. Brck and improve the results of I. Lahiri and Q.
Nan Li, Lian-Zhong Yang
semanticscholar   +1 more source

Nevanlinna’s Five Values Theorem on Annuli

Mathematics, 2016
By using the second main theorem of the meromorphic function on annuli, we investigate the problem on two meromorphic functions partially sharing five or more values and obtain some theorems that improve and generalize the previous results given by Cao ...
Hong-Yan Xu, Hua Wang
doaj   +1 more source