Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

On meromorphic solutions of certain type of difference equations

Document Type : Research Paper

Authors
1 University of Jinan, School of Mathematics
2 Department of Mathematics, University of Jinan
3 Department of Mathematics,Shandong University
Abstract
‎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,
‎Value distribution and uniqueness of difference polynomials and‎
‎entire solutions of difference equations‎, ‎ Ann‎. ‎Polon‎. ‎Math.
Keywords
Subjects

Volume 41, Issue 1 - Serial Number 1
February 2015
Pages 281-289

  • Receive Date 08 February 2013
  • Revise Date 29 December 2013
  • Accept Date 19 January 2014