In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the o...In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the order of growth of entire solutions to complex linear difference equations.展开更多
Abstract In this paper, we study the order of the growth and exponents of convergence of zeros and poles of meromorphic solutions of some linear and nonlinear difference equations which have admissible meromorphic sol...Abstract In this paper, we study the order of the growth and exponents of convergence of zeros and poles of meromorphic solutions of some linear and nonlinear difference equations which have admissible meromorphic solutions of finite order.展开更多
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 (11171119 and 10871076)
文摘In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the order of growth of entire solutions to complex linear difference equations.
基金supported by National Natural Science Foundation of China (Grant No. 10871076)
文摘Abstract In this paper, we study the order of the growth and exponents of convergence of zeros and poles of meromorphic solutions of some linear and nonlinear difference equations which have admissible meromorphic solutions of finite order.
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.
