Results 131 to 140 of about 10,733,006 (284)

Meromorphic Solutions of Linear Differential Systems, Painleve type functions [PDF]

Oper.Matrices 1 (2007) 87-111, 2006
We consider the $n{\times}n$ matrix linear differential systems in the complex plane. We find necessary and sufficient conditions under which these systems have meromorphic fundamental solutions. Using the operator identity method we construct a set of systems which have meromorphic solutions.
arxiv  

Meromorphic mappings of torus onto the Riemann sphere

Karpatsʹkì Matematičnì Publìkacìï, 2012
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.
Khrystiyanyn A.Ya., Kondratyuk A.A.
doaj   +2 more sources

Revisit Of Meromorphic Convex Functions [PDF]

arXiv
Our primary aim is to explore a sufficient condition for the class of meromorphically convex functions of order $\alpha$, where $0 \leq \alpha < 1$. The investigation will focus on studying a class of continuous functions defined on $[0,1)$, and analyzing the properties of the Schwarzian norm of locally univalent meromorphic functions.
arxiv  

The star function for meromorphic functions of several complex variables [PDF]

arXiv, 2017
We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f.We then characterize meromorphic functions admitting a harmonic star function.
arxiv  

Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts

Open Mathematics, 2019
In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
doaj   +1 more source

Deformation classes of meromorphic functions and their extensions to interior transformations [PDF]

, 1947
Marston Morse, Maurice Heins
openalex   +1 more source

Multiplier ideals of meromorphic functions in dimension two [PDF]

arXiv
We provide an effective method to compute multiplier ideals of meromorphic functions in dimension two. We also prove that meromorphic functions only have integer jumping numbers after reaching some threshold.
arxiv  

Meromorphic traveling wave solutions of the Kuramoto-Sivashinsky equation [PDF]

J. Math. Phys., Anal. Geom. 2 (2006) N 3 278-286, 2005
We determine all cases when there exists a meromorphic solution of the third order ODE describing traveling waves solutions of the Kuramoto-Sivashinsky equation. It turns out that there are no other meromorphic solutions besides those explicit solutions found by Kuramoto and Kudryashov. The general method used in this paper, based on Nevanlinna theory,
arxiv  

On factorization of p-adic meromorphic functions [PDF]

arXiv, 2019
In this paper, we study primeness and pseudo primeness of p-adic meromorphic functions. We also consider left (resp. right ) primeness of these functions. We give, in particular, sufficient conditions for a meromorphic function to satisfy such properties. Finally, we consider the problem of permutability of entire functions.
arxiv  

On the behaviour of a meromorphic function in the neighbourhood of a closed set of capacity zero [PDF]

, 1942
Masatsugu Tsuji
openalex   +1 more source