Results 141 to 150 of about 835 (184)
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Meromorphic Extensions of $$(\cdot , W)$$-Meromorphic Functions
Complex Analysis and Operator Theory, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thai Thuan Quang, Lien Vuong Lam
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GENERALIZED MEROMORPHIC FUNCTIONS
Russian Academy of Sciences. Izvestiya Mathematics, 1994The 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, 2017In 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, 1986Let 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, 2001Using 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, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Guodong, Chang, Jianming
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FEIGENBAUM’S CONSTANT FOR MEROMORPHIC FUNCTIONS
International Journal of Modern Physics C, 1992We 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, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Phase Diagrams of Meromorphic Functions
Computational Methods and Function Theory, 2010The 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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