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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