Results 101 to 110 of about 10,733,006 (284)

Parameter Constraints and Real Structures in Quadratic Semicomplete Vector Fields on C3

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
It is a remarkable fact that among the known examples of quadratic semicomplete vector fields on C3, it is always possible to find linear coordinates where the corresponding vector field has all—or “almost all”—coefficients in the real numbers. Indeed, the coefficients are very often integral.
Daniel de la Rosa Gómez, Shikha Binwal
wiley   +1 more source

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

Sufficient conditions for meromorphic starlikeness and close-to-convexity of order α

International Journal of Mathematics and Mathematical Sciences, 2001
The object of the present paper is to derive a property of certain meromorphic functions in the punctured unit disk. Our main theorem contains certain sufficient conditions for starlikeness and close-to-convexity of order α of meromorphic functions.
Nak Eun Cho, Shigeyoshi Owa
doaj   +1 more source

A Study of Solutions for Some Classes of PDEs Arising in Physics and Engineering Using Modified Reduced Differential Transform Method

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This paper successfully employs a combined methodology that integrates the reduced differential transform approach, Laplace transform, and Padé approximants to solve diverse partial differential equations with real and complex variables. The proposed method, known as the modified reduced differential transform method (MRDTM), extends the interval of ...
Osama Alkhazaleh, Osama Ala’yed, Manzoor Hussain   +2 more
wiley   +1 more source

Coefficient Estimates for Meromorphic Bi-Univalent Functions [PDF]

arXiv, 2011
A univalent meromorphic function defined on $\Delta:= \{z \in \mathbb{C}: 1<|z|<\infty \}$ with univalent inverse defined on $\Delta$ is bi-univalent meromorphic in $\Delta$. For certain subclasses of meromorphic bi-univalent functions, estimates on the initial coefficients are obtained.
arxiv  

Borel Directions and Uniqueness of Meromorphic Functions

Abstract and Applied Analysis, 2013
We investigate the relationship between Borel directions and uniqueness of meromorphic functions and obtain some results of meromorphic functions sharing four distinct values IM and one set in an angular domain containing a Borel line.
Keyu Zhang, HongYan Xu, Hongxun Yi
doaj   +1 more source

Meromorphic functions that share four or three small functions with their difference operators

Advances in Difference Equations, 2019
In this paper, we prove that non-constant meromorphic functions of finite order and their difference operators are identical, if they share four small functions “IM”, or share two small functions and ∞ CM. Our results show that a conjecture posed by Chen–
Huifang Liu, Zhiqiang Mao
doaj   +1 more source

Normal Families of Holomorphic Curves and Sharing of Moving Hyperplanes Wandering on ℙn

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we extend a result of Schwick concerning normality and sharing values in one complex variable for families of holomorphic curves taking values in ℙn. We consider wandering moving hyperplanes (i.e., depending on the respective holomorphic curve in the family under consideration) and establish a sufficient condition for normality ...
Gopal Datt, Naveen Gupta, Nikhil Khanna, Ritesh Pal, Abdul Rauf Khan   +4 more
wiley   +1 more source

On convergency properties of meromorphic functions and mappings [PDF]

arXiv, 1998
We give several unequivalent notions of convergency of meromorphic functions and more generally meromorphic mappings (strong, weak, $\Gamma $-convergency and some others). Relations between them are investigated. A version of Rouche theorem for the strongly converging sequences of meromorphic mappings is given.
arxiv  

Realizability of tropical pluri‐canonical divisors

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract Consider a pair consisting of an abstract tropical curve and an effective divisor from the linear system associated to k$k$ times the canonical divisor for k∈Z⩾1$k \in \mathbb {Z}_{\geqslant 1}$. In this article, we give a purely combinatorial criterion to determine if such a pair arises as the tropicalization of a pair consisting of a smooth ...
Felix Röhrle, Johannes Schwab
wiley   +1 more source