Results 61 to 70 of about 10,211,419 (281)
A New Class of Meromorphic Functions Involving the Polylogarithm Function
, 2014 We introduce a new operator associated with polylogarithm function. By making use of the new operator, we define a certain new class of meromorphic functions and discussed some important properties of it.
K. Alhindi, M. Darus
semanticscholar +1 more source
On the growth of meromorphic functions
Journal of Computational and Applied Mathematics, 1990 AbstractThere are shown some connections between the growth of a meromorphic function and the coefficients of its Padé approximants.
openaire +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
wiley +1 more source
Thurston obstructions and tropical geometry
Bulletin of the London Mathematical Society, EarlyView.Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
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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.
core
On a common refinement of Stark units and Gross–Stark units
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
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The minima of the geodesic length functions of uniform filling curves
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract There is a natural link between (multi‐)curves that fill up a closed oriented surface and dessins d'enfants. We use this approach to exhibit explicitly the minima of the geodesic length function of filling curves that admit a self‐transverse homotopy equivalent representative such that all self‐intersection points, as well as all faces of the ...
Ernesto Girondo +2 more
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Meromorphic function fields closed by partial derivatives
, 2019 We characterize meromorphic function fields closed by partial derivatives in n ...
Abe, Yukitaka
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On the singularities of the inverse to a meromorphic function of finite order
, 1995 Our main result implies the following theorem: Let f be a transcendental meromorphic function in the complex plane. If f has finite order ?, then every asymptotic value of f, except at most 2? of them, is a limit point of critical values of f.
Walter Bergweiler, A. Eremenko
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On the boundary of an immediate attracting basin of a hyperbolic entire function
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Let f$f$ be a transcendental entire function of finite order which has an attracting periodic point z0$z_0$ of period at least 2. Suppose that the set of singularities of the inverse of f$f$ is finite and contained in the component U$U$ of the Fatou set that contains z0$z_0$. Under an additional hypothesis, we show that the intersection of ∂U$\
Walter Bergweiler, Jie Ding
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