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Existence of zero-order meromorphic solutions of certain q-difference equations [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we consider the q-difference equation (f(qz)+f(z))(f(z)+f(z/q))=R(z,f), $$ \bigl(f(qz)+f(z)\bigr) \bigl(f(z)+f(z/q)\bigr)=R(z,f), $$ where R(z,f) $R(z,f)$ is rational in f and meromorphic in z.
Yunfei Du +3 more
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Applied Mathematics in Science and Engineering, 2023 The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been ...
Zhongwei He, Lingyun Gao
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Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
Journal of Function Spaces, 2022 To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz +3 more
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Integrability of Vector Fields and Meromorphic Solutions
Moscow Mathematical Journal, 2023 Let $\mathcal{F}$ be a foliation defined on a complex projective manifold $M$ of dimension $n$ and admitting a holomorphic vector field $X$ tangent to it along some non-empty Zariski-open set. In this paper we prove that if $X$ has sufficiently many integral curves that are given by meromorphic functions defined on $\mathbb{C}$ then the restriction of $
Rebelo, Julio, Reis, Helena
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On meromorphic solutions of the equations related to the first Painlevé equation
Журнал Белорусского государственного университета: Математика, информатика, 2022 In this paper, we consider the generalised hierarchy of the first Painlevé equation which is a sequence of polynomial ordinary differential equations of even order that have a uniform differential-algebraic structure determined by the operator L~n.
Elena V. Gromak
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Properties of meromorphic solutions of first-order differential-difference equations
Open Mathematics, 2023 For the first-order differential-difference equations of the form A(z)f(z+1)+B(z)f′(z)+C(z)f(z)=F(z),A\left(z)f\left(z+1)+B\left(z)f^{\prime} \left(z)+C\left(z)f\left(z)=F\left(z), where A(z),B(z),C(z)A\left(z),B\left(z),C\left(z), and F(z)F\left(z) are ...
Wu Lihao, Chen Baoqin, Li Sheng
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On the Growth of Solutions of Nonhomogeneous Higher order Complex Linear Differential Equations
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 The nonhomogeneous higher order linear complex differential equation (HOLCDE) with meromorphic (or entire) functions is considered in this paper. The results are obtained by putting some conditions on the coefficients to prove that the hyper order of ...
Ayad Alkhalidy
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On the meromorphic solutions of some functional equations [PDF]
Bulletin of the Australian Mathematical Society, 1994 Let f(z) be a meromorphic function, let P(z) and Q(z) be two polynomials. We shall investigate the asymptotic behaviour of the ratio T(r, f(P))/T(r, f(Q)), and discuss the growth of the meromorphic solutions of some functional equations.
Chen, Jianhua +2 more
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The three-loop equal-mass banana integral in ε-factorised form with meromorphic modular forms
Journal of High Energy Physics, 2022 We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated integral of ...
Sebastian Pögel +2 more
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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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