Meromorphic Solutions of Linear Difference Equations with Polynomial Coefficients
نویسندگان
چکیده
منابع مشابه
On meromorphic solutions of certain type of difference equations
We mainly discuss the existence of meromorphic (entire) solutions of certain type of non-linear difference equation of the form: $f(z)^m+P(z)f(z+c)^n=Q(z)$, which is a supplement of previous results in [K. Liu, L. Z. Yang and X. L. Liu, Existence of entire solutions of nonlinear difference equations, Czechoslovak Math. J. 61 (2011), no. 2, 565--576, and X. G. Qi...
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In this paper, we investigate the growth of meromorphic solutions to a complex higher order linear differential equation whose coefficients are meromorphic functions of [p, q]-orders. We get the results about the lower [p, q]-order of solutions of the equation. Moreover, we investigate the [p, q]-convergence exponent and the lower [p, q]-convergence exponent of distinct zeros of f(z)− φ(z). AMS...
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ژورنال
عنوان ژورنال: Fasciculi Mathematici
سال: 2017
ISSN: 0044-4413
DOI: 10.1515/fascmath-2017-0024