Results 101 to 110 of about 10,211,419 (281)

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

Nevanlinna theory for the difference operator [PDF]

, 2005
Certain estimates involving the derivative $f\mapsto f'$ of a meromorphic function play key roles in the construction and applications of classical Nevanlinna theory.
Halburd, R. G., Korhonen, R. J.
core   +4 more sources

Values shared by meromorphic functions and their derivatives

Arab Journal of Mathematical Sciences, 2016
In this paper we deal with the problem of uniqueness of meromorphic functions as well as their power which share a small function with their derivatives and obtain some results which improve and generalize the recent results due to Zhang and Yang (2009 ...
Sujoy Majumder
doaj   +1 more source

Differential polynomials that share three finite values with their generating meromorphic function.

, 1999
In this paper, “meromorphic function” means meromorphic in the whole plane C. We shall assume that the reader is familiar with the notation and elementary aspects of Nevanlinna theory (cf. [3] or [4]). We say that two meromorphic functions f andg share a
G. Frank, X. Hua
semanticscholar   +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

Unicity Results Concerning of difference monomials of L-function and a meromorphic function

Ratio Mathematica
In this paper, we study the value distribution of $\mathcal{L}$-function in the extend Selberg class and a non-constant transcendental meromorphic $\mathsf{f}$ function with finitely many zeros of finite order, sharing a polynomial with its difference ...
Harina Waghamore P, Roopa M.
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 A CONJECTURE OF R. BRÜCK CONCERNING MEROMORPHIC FUNCTION SHARING SMALL FUNCTIONS

Revista de Matemática: Teoría y Aplicaciones, 2017
In this paper, we investigate the uniqueness problem on a conjecture of R. Brück concerning meromorphic function sharing the set of small functions with its derivative, and obtain some results which improve the theorems given by Zhang and Yang.
Hong Yan Xu, Cai Feng Yi, Hua Wang
doaj   +1 more source

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

Advancement on the study of growth analysis of differential polynomial and differential monomial in the light of slowly increasing functions

Karpatsʹkì Matematičnì Publìkacìï, 2018
Study of the growth analysis of entire or meromorphic functions has generally been done through their Nevanlinna's characteristic function in comparison with those of exponential function.
T. Biswas
doaj   +1 more source