Results 11 to 20 of about 369 (181)
On the Complex Oscillation of Meromorphic Solutions of Nonhomogeneous Linear Differential Equations with Meromorphic Coefficients [PDF]
Discrete Dynamics in Nature and Society, 2020 In this paper, we study the higher order differential equation fk+Bf=H, where B is a rational function, having a pole at ∞ of order n>0, and H≡0 is a meromorphic function with finite order, and obtain some properties related to the order and zeros of its
Chuang-Xin Chen +2 more
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Meromorphic Solutions of Some Complex Difference Equations [PDF]
Advances in Difference Equations, 2009 The main purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form ∑{J}αJ(z)(∏j∈Jf(z+cj))=R(z,f(z)), where {J} is a collection of all subsets of {1,2,…,n}
Zhi-Bo Huang, Zong-Xuan Chen
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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 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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Meromorphic Solutions of Algebraic Difference Equations [PDF]
Constructive Approximation, 2017 It is shown that the difference equation \begin{equation}\label{abseq} (Δf(z))^2=A(z)(f(z)f(z+1)-B(z)), \qquad\qquad (1) \end{equation} where $A(z)$ and $B(z)$ are meromorphic functions, possesses a continuous limit to the differential equation \begin{equation}\label{abseq2} (w')^2=A(z)(w^2-1),\qquad\qquad (2) \end{equation} which extends to solutions ...
Ishizaki, Katsuya, Korhonen, Risto
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Meromorphic solutions of P_4,34 and their value distribution
Annales Academiae Scientiarum Fennicae Mathematica, 2016 The authors are concerned with the value distribution of meromorphic solutions of Painlevé equations, in particular, \(P_2\), \(P_4\) and the unified equation \(P_{4,34}\) (or \(P_{4,34}(\alpha,\beta,\gamma)\)) \[ f''=\frac{(f')^2}{2f}-\frac{\alpha}{2f}+\beta f(2f+z)+\gamma f(f+z)(3f+z).
Ciechanowicz, Ewa, Filipuk, Galina
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On meromorphic solutions of algebraic differential equations [PDF]
Transactions of the American Mathematical Society, 1980 The Malmquist Theorem is generalized for equations of the type R ( z ,
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On a Harry–Dym-Type Hierarchy: Trigonal Curve and Quasi-Periodic Solutions
Mathematics, 2022 Resorting to the characteristic polynomial of Lax matrix for a Harry–Dym-type hierarchy, we define a trigonal curve, on which appropriate vector-valued Baker–Akhiezer function and meromorphic function are introduced.
Qi Feng, Lihua Wu
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The Meromorphic Solutions of the Bruschi–Calogero Equation
Publications of the Research Institute for Mathematical Sciences, 2000 We give all the meromorphic functions defined near the origin 0 \in ℂ satisfying a functional equation investigated by Bruschi and Calogero [1], [2].
Kawazumi, N., Shibukawa, Y.
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The Existence of Meromorphic Solutions of Some Types of Systems of Complex Functional Equations
Discrete Dynamics in Nature and Society, 2015 We investigate the existence of transcendental meromorphic solutions of some types of systems of complex functional equations and obtain some results about the existence of meromorphic solutions of such systems.
Hong-Yan Xu, Jin-Lian Wang, Hua Wang
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