Results 31 to 40 of about 5,990,008 (247)

Uniqueness of L-Functions Concerning Certain Differential Polynomials

open access: yesDiscrete Dynamics in Nature and Society, 2018
Relying on Nevanlinna theory and the properties of L-functions in the extended Selberg class, we mainly study the uniqueness problems on L-functions concerning certain differential polynomials. This generalizes some results of Steuding, Li, Fang, and Liu-
Wen-Jie Hao, Jun-Fan Chen
doaj   +1 more source

Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod

open access: yesDiscrete Dynamics in Nature and Society, 2010
The sensitivity minimization of feedback system is solved based on the theory of Nevanlinna-Pick interpolation with degree constraint without using weighting functions. More details of the dynamic characteristic of second-order system investigated, which
Bin Liu   +3 more
doaj   +1 more source

Results on the solutions of several second order mixed type partial differential difference equations

open access: yesAIMS Mathematics, 2022
This article is concerned with the existence of entire solutions for the following complex second order partial differential-difference equation $ \left(\frac{\partial^2 f(z_1, z_2)}{\partial z_1^2}+\frac{\partial^2 f(z_1, z_2)}{\partial z_2^2 ...
Wenju Tang, Keyu Zhang, Hongyan Xu
doaj   +1 more source

Meromorphic solutions of $ f^{n}+P_{d}(f) = p_{1}e^{\alpha_{1}z}+p_{2}e^{\alpha_{2}z}+p_{3}e^{\alpha_{3}z} $

open access: yesAIMS Mathematics, 2022
By using Nevanlinna of the value distribution of meromorphic functions, we investigate the transcendental meromorphic solutions of the non-linear differential equation $ \begin{equation*} f^{n}+P_{d}(f) = p_{1}e^{\alpha_{1}z}+p_{2}e^{\alpha_{2}z}+p_{3}
Linkui Gao, Junyang Gao
doaj   +1 more source

Entire solutions of two certain types of quadratic trinomial q-difference differential equations

open access: yesAIMS Mathematics, 2023
The main purpose of this paper is to find the explicit forms for entire solutions of two certain types of Fermat-type q-difference differential equations.
Zhenguang Gao, Lingyun Gao , Manli Liu
doaj   +1 more source

The growth of entire solutions of certain nonlinear differential-difference equations

open access: yesAIMS Mathematics, 2022
This paper is concerned with entire solutions of nonlinear differential-difference equations. We will characterize the growth of entire solutions for two classes of nonlinear differential-difference equations.
Wenjie Hao, Qingcai Zhang
doaj   +1 more source

The q-Difference Theorems for Meromorphic Functions of Several Variables

open access: yesAbstract and Applied Analysis, 2014
We investigate q-shift analogue of the lemma on logarithmic derivative of several variables. Let f be a meromorphic function in ℂn of zero order such that f(0)≠0, ∞, and let q∈ℂn\{0}.
Zhi-Tao Wen
doaj   +1 more source

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

open access: yesContributions 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   +8 more
wiley   +1 more source

Value Distribution for a Class of Small Functions in the Unit Disk

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
If 𝑓 is a meromorphic function in the complex plane, R. Nevanlinna noted that its characteristic function 𝑇(𝑟,𝑓) could be used to categorize 𝑓 according to its rate of growth as |𝑧|=𝑟→∞. Later H.
Paul A. Gunsul
doaj   +1 more source

Interpolation and random interpolation in de Branges–Rovnyak spaces

open access: yesJournal 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

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