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Rational maps with real multipliers [PDF]

open access: yes, 2009
Let f be a rational function such that the multipliers of all repelling periodic points are real. We prove that the Julia set of such a function belongs to a circle. Combining this with a result of Fatou we conclude that whenever J(f) belongs to a smooth
Eremenko, A   +5 more
core   +1 more source

Further Results on Uniqueness of Meromorphic Functions concerning Fixed Points

open access: yesAbstract and Applied Analysis, 2014
We will study the uniqueness problems of meromorphic functions of differential polynomials sharing fixed points. Our results improve or generalize some previous results on meromorphic functions sharing fixed points.
Xiao-Bin Zhang
doaj   +1 more source

Compositionally universal meromorphic functions [PDF]

open access: yes, 2019
peer reviewedFor a sequence of holomorphic maps $(\vp_n)$ from a domain $\Omega_2$ to a domain $\Omega_1$, we consider meromorphic functions $f$ on $\Omega_1$ for which the sequence of compositions $(f \circ \vp_n)$ is dense in the space of all ...
MEYRATH, Thierry
core   +1 more source

Certain subclasses of meromorphic harmonic starlike functions [PDF]

open access: yes, 2008
In a previous paper M.- P. Chen, Z.- R. Wu and Z.- Z. Zou [ M. P. Chen, Z.- R. Wu and Z.- Z. Zou, On functions alpha- starlike with respect to symmetric conjugate points, J. Math. Anal. Appl. 201 ( 1996) 25 - 34] developed a method, using some operators,
Bostancı, H., Öztürk, M.
core   +1 more source

Comparative growth analysis of wronskians in the light of their relative orders

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015
In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Sanjib Kumar Datta   +2 more
doaj   +1 more source

Generalized (α,β) order based on some growth properties of wronskians

open access: yesМатематичні Студії, 2020
In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their generalized (α,β) order and generalized lower (α,β) order of Wronskians generated by entire and meromorphic functions have been ...
T. Biswas, C. Biswas
doaj   +1 more source

On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical Derivatives

open access: yesJournal of Mathematics, 2021
The main concerned target of this article is to define and study some concerned classes of meromorphic function spaces using the general spherical derivatives.
A. El-Sayed Ahmed, S. Attia Ahmed
doaj   +1 more source

Applications of Some Generalized Janowski Meromorphic Multivalent Functions

open access: yesJournal of Mathematics, 2021
In this article, the ideas of post-quantum calculus and meromorphic multivalent functions are combined and some applications of these functions are discussed.
Bakhtiar Ahmad   +4 more
doaj   +1 more source

Meromorphic functions of uniqueness [PDF]

open access: yes, 2007
International audienceLet $E$ be an algebraically closed field of characteristic $0$ which is either $\C$ or a complete ultrametric field $K$. We consider the composition of meromorphic functions $h\circ f$ where $h$ is meromorphic in all $E$ and $f$ is ...
Escassut, Alain
core   +1 more source

ON CLUSTER SETS OF MEROMORPHIC FUNCTIONS [PDF]

open access: yesProceedings of the National Academy of Sciences, 1966
and we let W denote the extended w-plane. Classical theorems of W. Gross and F. Iversen state that the boundary of C is contained in Cr, and any point of the open set CCr that is not in R is in A; moreover, R covers CCr with the possible exception of at most two points, and if there are two exceptional points, then R is W minus these two points (see [1]
openaire   +3 more sources

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