Meromorphic continuation of Multivariable Euler product and application
, 2005 This article extends classical one variable results about Euler products defined by integral valued polynomial or analytic functions to several variables.
Bhowmik, Gautami +2 more
core +1 more source
Meromorphic mappings of torus onto the Riemann sphere
Karpatsʹkì Matematičnì Publìkacìï, 2013 The meromorphic mappings of the two dimensional torus onto the Riemann sphere are studied. Their connections with loxodromic meromorphic functions in the punctured plane are considered.
A. Ya. Khrystiyanyn, A. A. Kondratyuk
doaj +1 more source
Non-existence of unbounded Fatou components of a meromorphic function [PDF]
arXiv, 2007 This paper is devoted to establish sufficient conditions under which a transcendental meromorphic function has no unbounded Fatou components and to extend some results for entire functions to meromorphic functions. Actually, we shall mainly discuss non-existence of unbounded wandering domains of a meromorphic function.
arxiv
Spiral and Other Asymptotic Paths, and Paths of Complete Indetermination, of Analytic and Meromorphic Functions [PDF]
, 1953 F. Bagemihl, W. Seidel
openalex +1 more source
Meromorphic Lipschitz functions [PDF]
Bulletin of the Australian Mathematical Society, 1988 Let f be a function meromorphic in D = {|z| < 1} and let X be the chordal distance on the Riemann sphere. Then f satisfies the Lipschitz conditionin D if and only if |f′(z)|/(1 + |f(z)|2) = O((1 – |z|)α−1) and |z| → 1.
openaire +2 more sources
On Entire and Meromorphic Functions That Share One Small Function with Their Differential Polynomial
, 2013 We study the uniqueness of meromorphic functions that share one small function with more general differential polynomial . As corollaries, we obtain results which answer open questions posed by Yu (2003).
S. Bhoosnurmath, Smita R Kabbur
semanticscholar +1 more source
Normal Families of Bicomplex Meromorphic Functions [PDF]
arXiv, 2011 In the present paper, we introduced the extended bicomplex plane $\bar{\mathbb{T}}$, its geometric model: the bicomplex Riemann sphere, and the bicomplex chordal metric that enables us to talk about the convergence of the sequences of bicomplex meromorphic functions.
arxiv
A Note on Normal Families of Meromorphic Functions Concerning Shared Values
Discrete Dynamics in Nature and Society, 2011 We study the normality of families of meromorphic functions related to a Hayman conjecture. We consider whether a family of meromorphic functions ℱ is normal in D if, for every pair of functions f and g in ℱ, f′−afn and g′−agn share the value b for n=1,2,
Yuan Wenjun, Wei Jinjin, Lin Jianming
doaj +1 more source
ASYMPTOTIC SPOTS OF ENTIRE AND MEROMORPHIC FUNCTIONS [PDF]
, 1956 Maurice Heins
openalex +1 more source
Generalized Drazin-meromorphic invertible operators and generalized Kato-meromorphic decomposition [PDF]
arXiv, 2019 A bounded linear operator $T$ on a Banach space $X$ is said to be generalized Drazin-meromorphic invertible if there exists a bounded linear operator $S$ acting on $X$ such that $TS=ST$, $STS=S$, $ TST-T$ is meromorphic. We shall say that $T$ admits a generalized Kato-meromorphic decomposition if there exists a pair of $T$-invariant closed subspaces ...
arxiv