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Meromorphic Extensions of $$(\cdot , W)$$-Meromorphic Functions

Complex Analysis and Operator Theory, 2020
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Thai Thuan Quang, Lien Vuong Lam
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GENERALIZED MEROMORPHIC FUNCTIONS

Russian Academy of Sciences. Izvestiya Mathematics, 1994
The autor continues his pioneering work on generalized meromorphic functions on the big plane generated by a compact Abelian group \(G\) with ordered dual group \(\Gamma\subset\mathbb{R}\). Here he presents the proofs of several of his previously announced results. Let \(G\) be a compact Abelian group with ordered dual group \(\Gamma\subset \mathbb{R}\)
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TRANSCENDENCE OVER MEROMORPHIC FUNCTIONS

Bulletin of the Australian Mathematical Society, 2017
In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to prove strong transcendence statements in many general situations. In particular, as a consequence of a more general result, we show that if$F(z)\in \mathbb{C}[[z]]$is a power series with coefficients from a finite set, then$F(z)$is either rational or it
Coons, Michael, Tachiya, Yohei
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Rational Deficient Functions of Meromorphic Functions

Bulletin of the London Mathematical Society, 1986
Let f be a nonconstant meromorphic function in the complex plane. Nevanlinna theory asserts that f has a countable set of deficient values with total deficiencies at most 2. \textit{R. Nevanlinna} proposed (Le théorème de Picard-Borel et la théorie des fonctions méromorphes (1929)) to generalize this result in replacing complex values by meromorphic ...
Frank, Günter, Weissenborn, Gerd
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Universal meromorphic functions

Complex Variables, Theory and Application: An International Journal, 2001
Using the techniques of the hypercyclicity criterion, we prove that there is a meromorphic function f(z) on the complex plane whose translates f(z + n) for all n ≥ 1 are dense in the metric space of meromorphic functions on any region in the plane. In additions, we prove the analogue of the result for non-Euclidean translation on the unit disk.
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Meromorphic Functions Sharing Four Values

Southeast Asian Bulletin of Mathematics, 2003
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Song, Guodong, Chang, Jianming
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FEIGENBAUM’S CONSTANT FOR MEROMORPHIC FUNCTIONS

International Journal of Modern Physics C, 1992
We calculate Feigenbaum’s constant for a double-periodic meromorphic function: the Jacobian elliptic function sn[2K (m)x, m]. For m=0 this function reduces to sin(πx), with real period, while for m=1 it reduces to a hyperbolic tangent, having a pure imaginary period.
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Condenser Capacity and Meromorphic Functions

Computational Methods and Function Theory, 2010
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Phase Diagrams of Meromorphic Functions

Computational Methods and Function Theory, 2010
The paper demonstrates the use of phase diagrams as tools for visualizing and exploring meromorphic functions. The representation of a real function by its graph is one of the most insightful tools that mathematics has developed. Besides different types of grid mappings, which reflect conformality, one of the most promising ideas is the use of color ...
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Meromorphic Functions

2019
Walter K. Hayman, Eleanor F. Lingham
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