Abstract
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.
Highlights
Suppose that K is a complete closed field of characteristic 0 and f j is a transcendental general meromorphic function in K
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
Summary
How to cite this paper: Dalam, E.E.E. and Ibrahim, A.M. (2021) A Complete Field of Meromorphic Function. Received: January 10, 2021 Accepted: February 7, 2021 Published: February 10, 2021
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