## Abstract and Applied Analysis

### On Growth of Meromorphic Solutions for Linear Difference Equations

#### Abstract

We mainly study growth of linear difference equations ${P}_{n}\left(z\right)f\left(z+n\right)+\cdots +{P}_{\mathrm{1}}\left(z\right)f\left(z+\mathrm{1}\right)+{P}_{\mathrm{0}}\left(z\right)f\left(z\right)=\mathrm{0}$ and ${P}_{n}\left(z\right)f\left(z+n\right)+\cdots +{P}_{\mathrm{1}}\left(z\right)f\left(z+\mathrm{1}\right)+{P}_{\mathrm{0}}\left(z\right)f\left(z\right)=F\left(z\right),$ where $F\left(z\right),{P}_{\mathrm{0}}\left(z\right),\dots ,{P}_{n}\left(z\right)$ are polynomials such that $F\left(z\right){P}_{\mathrm{0}}\left(z\right){P}_{n}\left(z\right)\not\equiv \mathrm{0}$ 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 619296, 6 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512042

Digital Object Identifier
doi:10.1155/2013/619296

Mathematical Reviews number (MathSciNet)
MR3108414

Zentralblatt MATH identifier
07095174

#### Citation

Chen, Zong-Xuan; Shon, Kwang Ho. On Growth of Meromorphic Solutions for Linear Difference Equations. Abstr. Appl. Anal. 2013 (2013), Article ID 619296, 6 pages. doi:10.1155/2013/619296. https://projecteuclid.org/euclid.aaa/1393512042

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