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Bull. Korean Math. Soc. 2023; 60(3): 593-610

Online first article May 11, 2023      Printed May 31, 2023

https://doi.org/10.4134/BKMS.b210773

Copyright © The Korean Mathematical Society.

Some results on meromorphic solutions of q-difference differential equations

Lingyun Gao, Zhenguang Gao, Manli Liu

Jinan University; Jinan University; South China Agricultural University

Abstract

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In view of Nevanlinna theory, we investigate the meromorphic solutions of q-difference differential equations and our results give the estimates about counting function and proximity function of meromorphic solutions to these equations. In addition, some interesting results are obtained for two general equations and a class of system of q-difference differential equations.

Keywords: q-difference differential equation, meromorphic solution, transcendental, zero order

MSC numbers: Primary 30D35

Supported by: This work was partially supported by National Natural Science Foundation of China (NSFC)(NO.12171127).

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