Properties of meromorphic solutions of some certain difference equations
KODAI MATHEMATICAL JOURNAL(2014)
Abstract
This paper considers some properties of meromorplaic solutions of the nonlinear difference equation ( f (z + 1) + f (z))( f (z) + f (z-1)) = 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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Key words
nonlinear difference equation,transcendental meromorphic solution,rational solution,hyper-order
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