Title of article :
ON MEROMORPHIC SOLUTIONS OF CERTAIN TYPE OF DIFFERENCE EQUATIONS
Author/Authors :
QI, X Department of Mathematics - University of Jinan, Jinan, Shandong, P. R. China , LIU, Y Department of Mathematics - Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang, P. R. China , YANG, L Department of Mathematics - Shandong University, Ji- nan, Shandong, P. R. China
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. 102 (2011), no. 2,
129{142].
Keywords :
Difference equation , Meromorphic functions , Order
Journal title :
Astroparticle Physics
