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Meromorphic Solutions for a Class of Differential Equations and Their Applications

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018
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Lü, Weiran   +3 more
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Growth on Meromorphic Solutions of Differential–Difference Equations

Bulletin of the Malaysian Mathematical Sciences Society, 2019
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Wang, Qiongyan   +2 more
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Hypertranscendency of meromorphic solutions of a linear functional equations

aequationes mathematicae, 1998
The author considers meromorphic solutions \(y\) of the functional equation \(y(cz)=a(z)y(z)+b(z)\) where \(a\) and \(b\) are meromorphic and \(c\) is a non-zero constant satisfying \(|c|\not=1\). The first result says that if \(b(0)\not=\infty, a(0)\not=0, \infty\) and \(a(0)\not=c^{j}\) for \(j=0,1,2,...,\) then the functional equation has a ...
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Meromorphic Solutions of Difference Equations

2000
Of course, difference equations and differential equations are in intimate relations. But there are several dissimilarities between them.
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On Meromorphic Solutions of the Fermat Type Difference Equations

Mediterranean Journal of Mathematics
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Qi, Xiaoguang, Yang, Lianzhong
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Meromorphic Solutions of a Differential Equation with Polynomial Coefficients

Computational Methods and Function Theory, 2007
The author considers a first order differential equation of the form \[ f'=P_0+P_1\cdot f+\dots+P_n\cdot f^n,\quad n\geq3 \tag{1} \] where each \(P_k\) is a polynomial, \(P_n\neq0\). Since \(n\geq3\), it follows from the Malmquist Theorem that any meromorphic solution of equation (1) must necessarily be a rational function. Furthermore, it was shown by
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