Abstract
This paper is devoted to studying fixed points of meromorphic solutions f(z) for certain difference equations of first order. A number of results are obtained concerning zeros and fixed points of f(z) and its shifts \(f(z+n)\), difference \(\triangle f(z)=f(z+1)-f(z)\) and divided differences \(\frac{\triangle f(z)}{f(z)}\).
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The work was supported by the NNSF of China (Nos. 10771121, 11401387), the NSF of Zhejiang Province, China (No. LQ 14A010007), the NSFC Tianyuan Mathematics Youth Fund (No. 11226094), the NSF of Shandong Province, China (Nos. ZR2012AQ020 and ZR2010AM030) and the Fund of Doctoral Program Research of Shaoxing College of Art and Science (20135018).
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Liu, Y. Zeros and fixed-points on meromorphic solutions of a certain type of first order difference equation. J. Appl. Math. Comput. 61, 337–348 (2019). https://doi.org/10.1007/s12190-019-01243-4
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DOI: https://doi.org/10.1007/s12190-019-01243-4