On Growth of Meromorphic Solutions for Linear Difference Equations

Zong-Xuan Chen and Kwang Ho Shon

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We mainly study growth of linear difference equations Pn(z)f(z + n)+⋯+P1(z)f(z + 1) + P0(z)f(z) = 0 and Pn(z)f(z + n)+⋯+P1(z)f(z + 1) + P0(z)f(z) = F(z), where F(z), P0(z), …, Pn(z) are polynomials such that F(z)P0(z)Pn(z)≢0 and give the most weak condition to guarantee that orders of all transcendental meromorphic solutions of the above equations are greater than or equal to 1.

Date: 2013
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https://doi.org/10.1155/2013/619296

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:619296

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