Research articles
ScienceAsia 50 (2024):ID 2024010 1-6 |doi:
10.2306/scienceasia1513-1874.2024.010
A note on the parity of meromorphic functions
Changwen Penga,*, Huawei Huangb, Jianren Longb
ABSTRACT: Parity is an important and easy to recognise property for meromorphic functions. On the parity of
meromorphic functions, Liu, Liu and Korhonen [J Math Anal Appl 512(2022):126129] obtained some meaningful
results. In this paper, we investigate the parity of a meromorphic function y(z) under the hypothesis that y(z)
2n?2y(z)
n
is even. In addition, we discuss the relationship on the parity of a meromorphic function with its q-difference
polynomials and differential expressions. For instance, we consider the parity of a meromorphic function y(z) under
the assumption that y
?
(z)/y(z)
n
and y(qz)/y(z)
n
are odd or even functions, where n is a positive integer.
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| a |
School of Science, Guiyang University, Guiyang 550005 China |
| b |
School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001 China |
* Corresponding author, E-mail: pengcw716@126.com
Received 17 Mar 2023, Accepted 2 Sep 2023
|
