Results 21 to 30 of about 369 (181)
Hyper-order and fixed points of meromorphic solutions of higher order linear differential equations
Arab Journal of Mathematical Sciences, 2016 The purpose of this paper is to study the growth and fixed points of meromorphic solutions and their derivatives to complex higher order linear differential equations whose coefficients are meromorphic functions.
Habib Habib, Benharrat Belaïdi
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Open Mathematics, 2019 The purpose of this manuscript is to study some properties on meromorphic solutions for several types of q-difference equations. Some exponents of convergence of zeros, poles and fixed points related to meromorphic solutions for some q-difference ...
Xu Hong Yan, Zheng Xiu Min
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Unicity of Meromorphic Solutions of the Pielou Logistic Equation
Discrete Dynamics in Nature and Society, 2020 This paper mainly considers the unicity of meromorphic solutions of the Pielou logistic equation yz+1=Rzyz/Qz+Pzyz, where Pz,Qz, and Rz are nonzero polynomials.
Sheng Li, Baoqin Chen
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Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations
Pan-American Journal of Mathematics, 2023 In this article, we study the growth of meromorphic solutions of linear delay-differential equation of the form [\ \sum_{i=0}^{n}\sum_{j=0}^{m}A_{ij}(z)f^{(j)}(z+c_{i})=F(z),/] where Aij(z) (i = 0, 1, ..., n, j = 0, 1, ..., m, n, m ∈ N) and F(z) are ...
Abdelkader Dahmani, Benharrat Belaidi
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A Cubic Hamiltonian System with Meromorphic Solutions [PDF]
Computational Methods and Function Theory, 2015 Consider the system of equations \[ \dot{q}=p^2+zq+\alpha,\quad \dot{p}=-q^2-zp-\beta,\quad\alpha,\beta\in\mathbb{C}. \] It is a Hamiltonian system with the Hamiltonian \[ H=\frac{1}{3}(q^3+p^3)+zpq+\alpha p+\beta q. \] In the paper it is proved that this system has the Painlevé property. Actually this result follows from a general result of the paper [
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All Admissible Meromorphic Solutions of Hayman's Equation [PDF]
International Mathematics Research Notices, 2014 We find all non-rational meromorphic solutions of the equation $ww"-(w')^2=α(z)w+β(z)w'+γ(z)$, where $α$, $β$ and $γ$ are rational functions of $z$. In so doing we answer a question of Hayman by showing that all such solutions have finite order. Apart from special choices of the coefficient functions, the general solution is not meromorphic and ...
Halburd, R, Wang, J
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On Meromorphic Solutions of Functional Equations of Fermat Type [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2018 15pages ...
Hu, Pei-Chu, Wang, Qiong
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MEROMORPHIC SOLUTIONS OF q-DIFFERENCE EQUATIONS
Kyushu Journal of Mathematics, 2003 Let \(q\) be a complex number with \(0 < | q| < 1\), and let \(a(z)\), \(b(z)\) and \(c(z)\) be polynomials having no common zeros. The authors treat a \(q\)-difference equation of first order \[ a(z)f(z) =b(z)f(qz)+c(z),\tag{1} \] in which they assume that \(a(0)\neq 0\), \(b(z)\not\equiv 0\) and \(A + B \geq 1\), where \(A =\text{deg\,}a(z)\), \(B = \
ELI, Ilham, YANAGIHARA, Niro
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
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An Extended Complex Method to Solve the Predator–Prey Model
AxiomsThrough transformation and utilizing a novel extended complex method combining with the Weierstrass factorization theorem, Wiman–Valiron theory and the Painlevé test, new non-constant meromorphic solutions were constructed for the predator–prey model ...
Hongqiang Tu, Guoqiang Dang
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