Results 41 to 50 of about 10,487,514 (263)

Asymptotic Values of Meromorphic Functions of Finite Order. [PDF]

, 2010
The asymptotic values of a meromorphic function (of any order) defined in the complex plane form a Suslin analytic set. Moreover, given an analytic set A we construct a meromorphic function of finite order and minimal growth having A as its precise set of ...
Cantón Pire, Alicia, Drasin, David, Granados, Ana   +2 more
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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

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
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On New p-Valent Meromorphic Function Involving Certain Differential and Integral Operators

Abstract and Applied Analysis, 2014
We define new subclasses of meromorphic p-valent functions by using certain differential operator. Combining the differential operator and certain integral operator, we introduce a general p-valent meromorphic function.
Aabed Mohammed, Maslina Darus
doaj   +1 more source

On the Complex Oscillation of Meromorphic Solutions of Nonhomogeneous Linear Differential Equations with Meromorphic Coefficients

Discrete Dynamics in Nature and Society, 2020
In this paper, we study the higher order differential equation fk+Bf=H, where B is a rational function, having a pole at ∞ of order n>0, and H≡0 is a meromorphic function with finite order, and obtain some properties related to the order and zeros of its
Chuang-Xin Chen, Ning Cui, Zong-Xuan Chen   +2 more
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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

Orbit Growth of Shift Spaces Induced by Bouquet Graphs and Dyck Shifts

Mathematics, 2021
For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the growth of its closed orbits in a certain way. The asymptotic behaviours of these counting functions can be determined via Artin–Mazur zeta function of the
Azmeer Nordin, Mohd Salmi Md Noorani
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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

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

Residues of functions of Cayley-Dickson variables and Fermat's last theorem [PDF]

, 2010
Function theory of Cayley-Dickson variables is applied to Fermat's last theorem. For this the homotopy theorem, Rouch\'e's theorem and residues of meromorphic functions over Cayley-Dickson algebras are used.
Ludkovsky, S. V.
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