Chang-Wen Peng, Zong-Xuan Chen
Abstract
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This paper considers some properties of meromorphic solutions of the nonlinear difference equation (f(z + 1) + f(z))(f(z) + f(z − 1)) = $\frac{P(z,f(z))}{Q(z,f(z))}$, where P(z, f(z)) and Q(z, f(z)) are polynomials in f having rational coefficients and no common roots.
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This paper considers some properties of meromorphic solutions of the nonlinear difference equation (f(z + 1) + f(z))(f(z) + f(z − 1)) = $\frac{P(z,f(z))}{Q(z,f(z))}$, where P(z, f(z)) and Q(z, f(z)) are polynomials in f having rational coefficients and no common roots.
Key concepts: Meromorphic function, Mathematics, Nonlinear system, Pure mathematics, Mathematical analysis, Combinatorics, Physics, Quantum mechanics