In this article, we consider the non-linear difference equation(f(z + 1)f(z)-1)(f(z)f(z-1)-1) =P(z, f(z))/Q(z, f(z)),where P(z, f(z)) and Q(z, f(z)) are relatively prime polynomials in f(z) with rational coefficients....In this article, we consider the non-linear difference equation(f(z + 1)f(z)-1)(f(z)f(z-1)-1) =P(z, f(z))/Q(z, f(z)),where P(z, f(z)) and Q(z, f(z)) are relatively prime polynomials in f(z) with rational coefficients. For the above equation, the order of growth, the exponents of convergence of zeros and poles of its transcendental meromorphic solution f(z), and the exponents of convergence of poles of difference △f(z) and divided difference △f(z)/f(z)are estimated. Furthermore, we study the forms of rational solutions of the above equation.展开更多
讨论了外延及注入制作的薄层 Ga As Hall器件如何获得高的磁线性度 .Ga As Hall器件的磁线性度在高磁场下会有偏离 ,但可以通过外延及注入的过渡层对有源区进行补偿 ,在合适的有源区和过渡区的浓度和厚度分布中 ,可以得到在 2 .5 T的强...讨论了外延及注入制作的薄层 Ga As Hall器件如何获得高的磁线性度 .Ga As Hall器件的磁线性度在高磁场下会有偏离 ,但可以通过外延及注入的过渡层对有源区进行补偿 ,在合适的有源区和过渡区的浓度和厚度分布中 ,可以得到在 2 .5 T的强磁场下 ,± 0 .0 4展开更多
基金supported by the National Natural Science Foundation of China(11371225)National Natural Science Foundation of Guangdong Province(2016A030313686)
文摘In this article, we consider the non-linear difference equation(f(z + 1)f(z)-1)(f(z)f(z-1)-1) =P(z, f(z))/Q(z, f(z)),where P(z, f(z)) and Q(z, f(z)) are relatively prime polynomials in f(z) with rational coefficients. For the above equation, the order of growth, the exponents of convergence of zeros and poles of its transcendental meromorphic solution f(z), and the exponents of convergence of poles of difference △f(z) and divided difference △f(z)/f(z)are estimated. Furthermore, we study the forms of rational solutions of the above equation.
