A Complete Field of Meromorphic Function  

作　　者：Elhadi E. E. Dalam Ahmed M. Ibrahim Elhadi E. E. Dalam;Ahmed M. Ibrahim(Department of Mathematics, College of Arts and Science, Al Baha University, Al Mandag, KSA)

机构地区：[1]Department of Mathematics, College of Arts and Science, Al Baha University, Al Mandag, KSA

出　　处：《Advances in Pure Mathematics》2021年第2期138-148,共11页理论数学进展（英文）

摘　　要：In any completely close complex field C, generalized transcendental meromorphic functions may have some new properties. It is well known that a meromorphic function of characteristic zero is a rational function. This paper introduced some mathematical properties of the transcendental meromorphic function, which is generalized to the meromorphic function by multiplying and differentiating the generalized meromorphic function. The analysis shows that the difference between any non-zero constant and the derivative of the general meromorphic function has an infinite zero. In addition, for any natural number n, there are no practically exceptional values for the multiplication of the general meromorphic function and its derivative to the power of n.In any completely close complex field C, generalized transcendental meromorphic functions may have some new properties. It is well known that a meromorphic function of characteristic zero is a rational function. This paper introduced some mathematical properties of the transcendental meromorphic function, which is generalized to the meromorphic function by multiplying and differentiating the generalized meromorphic function. The analysis shows that the difference between any non-zero constant and the derivative of the general meromorphic function has an infinite zero. In addition, for any natural number n, there are no practically exceptional values for the multiplication of the general meromorphic function and its derivative to the power of n.

关 键 词：Meromorphic Functions Unit Disk Rational Functions 

分 类 号：O17[理学—数学]