Results 31 to 40 of about 292 (180)

Entire Solutions and Necessary Conditions for Subnormal Solutions of Two Types of Differential‐Difference Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This research primarily concerns differential‐difference equations of h¯h_+rzhm/h=Mz,h=Uz,h/Fz,hand h¯h_+rzh′/hm=Mz,h=Uz,h/Fz,h, where U(z, h) and F(z, h) are coprime polynomials in h with rational coefficients, r(z) is rational, m ≥ 1 is an integer, and h¯=hz+1, h_=hz−1.
Changwen Peng, Huawei Huang, Lei Tao, Smritijit Sen   +3 more
wiley   +1 more source

Representing maps for semibounded forms and their Lebesgue‐type decompositions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract In the Lebesgue decomposition of a lower semibounded sesquilinear form, the corresponding regular and singular parts are mutually singular. The more general Lebesgue‐type decompositions studied here allow components that need not be mutually singular anymore.
S. Hassi, H. S. V. de Snoo
wiley   +1 more source

Characteristic functions and fundamental theorems for holomorphic curves in the m-punctured complex planes

Demonstratio Mathematica
The aim of the present article is to establish some fundamental theorems in Nevanlinna theory for holomorphic curves in the m-punctured complex plane crossing a finite set of fixed hyperplanes in P n(C) in general position.
Yang Liu
doaj   +1 more source

Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomial

Karpatsʹkì Matematičnì Publìkacìï, 2021
The purpose of this paper is to obtain some sufficient conditions to determine the relation between a meromorphic function and an $L$-function when certain differential polynomial generated by them sharing a one degree polynomial. The main theorem of the
A. Banerjee, S. Bhattacharyya
doaj   +1 more source

Predicting the Uniform Electron Gas Stopping Power at Moderate and Strong Coupling

Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.
ABSTRACT This paper presents a detailed study of the stopping power of a homogeneous electron gas in moderate and strong coupling regimes using the self‐consistent version of the method of moments as the key theoretical approach capable of expressing the dynamic characteristics of the system in terms of the static ones, which are the moments.
Saule A. Syzganbayeva, Alexey V. Filinov, Jesús Ara, Assel B. Ashikbayeva, Abdiadil Askaruly, Lazzat T. Yerimbetova, Manuel D. Barriga‐Carrasco, Yuriy V. Arkhipov, Igor M. Tkachenko   +8 more
wiley   +1 more source

Entire function sharing two polynomials with its $k$th derivative [PDF]

Mathematica Bohemica
We investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011).
Sujoy Majumder, Nabadwip Sarkar
doaj   +1 more source

Interpolation and random interpolation in de Branges–Rovnyak spaces

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract The aim of this paper is to characterize universal and multiplier interpolating sequences for de Branges–Rovnyak spaces H(b)$\mathcal {H}(b)$ where the defining function b$b$ is a general non‐extreme rational function. Our results carry over to recently introduced higher order local Dirichlet spaces and thus generalize previously known results
Andreas Hartmann, Giuseppe Lamberti
wiley   +1 more source

Homozygous FANCM Variant c.5101C>T p.(Gln1701*) in a Patient With Early Onset Breast Cancer, Chemotherapy Toxicity, and Chromosome Fragility: A Case Report

Cancer Reports, Volume 8, Issue 8, August 2025.
ABSTRACT Background Biallelic FANCM variants are linked to a Fanconi anemia‐like cancer predisposition syndrome, which includes early onset breast cancer, chemotherapy toxicity, and chromosome fragility. Additionally, heterozygous truncating variants have been linked to increased breast cancer risk. However, the published results have been inconsistent,
Sonja Sulkava, Anna H. Hakonen, Rikke Christensen, Minna Pöyhönen, Heli Nevanlinna   +4 more
wiley   +1 more source

Properties of meromorphic solutions of $q$-difference equations

Electronic Journal of Differential Equations, 2015
In this article, we utilize Nevanlinna value distribution theory to study the solvability and the growth of meromorphic function f(z) that satisfies some q-difference equations, which can be seen the q-difference analogues of Painleve I and II ...
Xiaoguang Qi, Lianzhong Yang
doaj  

Nevanlinna’s Five Values Theorem on Annuli

Mathematics, 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