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ON GROWTH OF MEROMORPHIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS AND TWO CONJECTURES OF C.C. YANG

ON GROWTH OF MEROMORPHIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS AND TWO CONJECTURES OF C.C. YANG
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摘要 In this paper, we investigate the growth of the meromorphic solutions of the following nonlinear difference equations F(Z)N+pN-1(F)=0,where n ≥ 2 and small functions as proposed by Yang than 1. Pn-1(f) is a difference polynomial of degree at most n - 1 in f with coefficients. Moreover, we give two examples to show that one conjecture and Laine [2] does not hold in general if the hyper-order of f(z) is no less In this paper, we investigate the growth of the meromorphic solutions of the following nonlinear difference equations F(Z)N+pN-1(F)=0,where n ≥ 2 and small functions as proposed by Yang than 1. Pn-1(f) is a difference polynomial of degree at most n - 1 in f with coefficients. Moreover, we give two examples to show that one conjecture and Laine [2] does not hold in general if the hyper-order of f(z) is no less
出处 《Acta Mathematica Scientia》 SCIE CSCD 2016年第1期195-202,共8页 数学物理学报(B辑英文版)
基金 supported by the NNSF of China(11171013,11371225,11201014) the YWF-14-SXXY-008 of Beihang University the Fundamental Research Funds for the Central University
关键词 GROWTH meromorphic solutions difference equations CONJECTURES growth meromorphic solutions difference equations conjectures
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