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A Complete Field of Meromorphic Function
Department of Mathematics, College of Arts and Science, Al Baha University, Al Mandag, KSA
Department of Mathematics, College of Arts and Science, Al Baha University, Al Mandag, KSA
- 1 Department of Mathematics, College of Arts and Science, Al Baha University, Al Mandag, KSA
- 2 Department of Mathematics, College of Arts and Science, Al Baha University, Al Mandag, KSA
Advances in Pure Mathematics·Volume 11 (2021)·Pages 138–148·Published 5 February 2021·DOI10.4236/apm.2021.112009
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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.
KeywordsMeromorphic FunctionsUnit DiskRational Functions
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