论文标题
有限$φ$ - 订单和线性$ q $ -Difference方程的Meromorthic函数
Meromorphic functions of finite $φ$-order and linear $q$-difference equations
论文作者
论文摘要
$φ$ - 订单于2009年引入了单位光盘中的Meromorphic函数，并用作线性微分方程溶液的生长指标。在本文中，研究了复杂平面中的Meromorthic函数的性能，该特性是根据$φ$ - 订单来衡量经典顺序和对数顺序之间功能的增长的。通过使用$φ$ - 订单和收敛的$φ$ - exponent，讨论了有关Meromorthic函数价值分布的几个结果。复杂平面中的应用在线性$ q $ -Difference方程中而不是线性微分方程。
The $φ$-order was introduced in 2009 for meromorphic functions in the unit disc, and was used as a growth indicator for solutions of linear differential equations. In this paper, the properties of meromorphic functions in the complex plane are investigated in terms of the $φ$-order, which measures the growth of functions between the classical order and the logarithmic order. Several results on value distribution of meromorphic functions are discussed by using the $φ$-order and the $φ$-exponent of convergence. Instead of linear differential equations, the applications in the complex plane lie in linear $q$-difference equations.
