The aim of this paper is to study the order of meromorphic solutions of linear difference equation An(z)f(z+n)+…+A1(z)f(z+1)+A0(z)f(z)=0,where the coefficients Aj(z)(j=0,...,n)are entire functions.We obtain some resu...The aim of this paper is to study the order of meromorphic solutions of linear difference equation An(z)f(z+n)+…+A1(z)f(z+1)+A0(z)f(z)=0,where the coefficients Aj(z)(j=0,...,n)are entire functions.We obtain some results by giving some restrictions on coefficients of above equation with no dominating coefficient and partially answer a question of I.Laine and C.C.Yang.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11661043)the Foundation of Education Department of Jiangxi Province(Grant No.GJJ2200320)。
文摘The aim of this paper is to study the order of meromorphic solutions of linear difference equation An(z)f(z+n)+…+A1(z)f(z+1)+A0(z)f(z)=0,where the coefficients Aj(z)(j=0,...,n)are entire functions.We obtain some results by giving some restrictions on coefficients of above equation with no dominating coefficient and partially answer a question of I.Laine and C.C.Yang.