Results 31 to 40 of about 31,711 (201)

Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions

open access: yesJournal of Function Spaces, 2022
To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz   +3 more
doaj   +1 more source

A meromorphic extension of the 3D Index

open access: yes, 2018
Using the locally compact abelian group $\BT \times \BZ$, we assign a meromorphic function to each ideal triangulation of a 3-manifold with torus boundary components.
Garoufalidis, Stavros, Kashaev, Rinat
core   +1 more source

Arc-meromorphous functions

open access: yesAnnales Polonici Mathematici, 2021
Summary: We introduce arc-meromorphous functions, which are continuous functions representable as quotients of semialgebraic arc-analytic functions, and develop the theory of arc-meromorphous sheaves on Nash manifolds. Our main results are Cartan's theorems A and B for quasi-coherent arc-meromorphous sheaves.
Kucharz, Wojciech, Kurdyka, Krzysztof
openaire   +4 more sources

Meromorphic function sharing a small function with a linear differential polynomial [PDF]

open access: yesMathematica Bohemica, 2016
The problem of uniqueness of an entire or a meromorphic function when it shares a value or a small function with its derivative became popular among the researchers after the work of Rubel and Yang (1977).
Indrajit Lahiri, Amit Sarkar
doaj   +1 more source

Classification of absolutely dicritical foliations of cusp type [PDF]

open access: yes, 2012
We give a classification of absolutely dicritical foliations of cusp type, that is, the germ of singularities of complex foliations in the complex plane topologically equivalent to the singularity given by the level of the meromorphic function \frac{y^{2}
Genzmer, Yohann
core   +5 more sources

Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their q-Shift

open access: yesDiscrete Dynamics in Nature and Society, 2012
We investigate value distribution and uniqueness problems of meromorphic functions with their q-shift. We obtain that if f is a transcendental meromorphic (or entire) function of zero order, and Q(z) is a polynomial, then afn(qz)+f(z)−Q(z) has infinitely
Haiwa Guan, Gang Wang, Qiuqin Luo
doaj   +1 more source

Meromorphic function fields closed by partial derivatives

open access: yes, 2019
We characterize meromorphic function fields closed by partial derivatives in n ...
Abe, Yukitaka
core   +1 more source

The Mathematical History Behind the Granger–Johansen Representation Theorem

open access: yesOxford Bulletin of Economics and Statistics, EarlyView.
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley   +1 more source

Nevanlinna’s Five Values Theorem on Annuli

open access: yesMathematics, 2016
By using the second main theorem of the meromorphic function on annuli, we investigate the problem on two meromorphic functions partially sharing five or more values and obtain some theorems that improve and generalize the previous results given by Cao ...
Hong-Yan Xu, Hua Wang
doaj   +1 more source

Residues of functions of Cayley-Dickson variables and Fermat's last theorem [PDF]

open access: yes, 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  

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