The Meromorphic Solutions of Fermat Type Functional Equations

Abstract

CLC Number:

Duan Jiangmei, Han Yan, Hu Xiaofei, Yang Huijuan . The Meromorphic Solutions of Fermat Type Functional Equations [J]. Journal of Dali University, 2023, 8(12): 5-9.

References

〔1〕 HAYMAN W K. Meromorphic Functions〔M〕. Oxford： Clarendon Press， 1964.

〔2〕杨乐. 值分布论及其新研究〔M〕. 北京：科学出版社， 1982.

〔3〕 HAYMAN W K. Waring's Problem für Analytische Funktionen〔J〕. Bayerische Akademie der Wissenschaften Mathematisch-Naturwissenschaftliche Klasse Sitzungsberichte， 1985，1984： 1-13.

〔4〕 GUNDERSEN G G， HAYMAN W K. The Strength of Cartan's Version of Nevanlinna Theory〔J〕. Bulletin of the London Mathematical Society， 2004， 36（4）： 433-454.

〔5〕 GUNDERSEN G G. Complex Functional Equations， in Complex Differential and Functional Equation〔J〕. University of Joensuu Department of Mathematics Report Series No.5，2003，5：21-50.

〔6〕 NEWMAN D J， SLATER M. Waring's Problem for the Ring of Polynomials〔J〕. J Number Theory， 1979， 11（4）： 477-487.

〔7〕顾永兴，庞学诚，方明亮.正规族理论及其应用〔M〕.北京：科学出版社， 2007.

〔8〕 LI Y H. Uniqueness Theorems for Meromorphic Functions of Order Ｌess than One〔J〕. Northeastern Mathematical Journal， 2000， 16（4）： 411-416.

〔9〕苏先锋，张庆彩.关于Fermat型微分差分方程的亚纯解〔J〕. 应用数学学报，2019， 42（3）： 425-432.

〔10〕 GUNDERSEN G G， ISHIZAKI K， KIMURA N. Restrictions on Meromorphic Solutions of Fermat Type Equations〔J〕.Proceedings of the Edinburgh Mathematical Society， 2020， 63（3）： 654-665.

〔11〕扈培础，吴琳琳. 关于Fermat型函数方程的问题〔J〕. 山东大学学报（理学版），2021，56（10）：23-37.

〔12〕 LU F， GUO H X. On Meromorphic Solutions of the Fermat-Type Functional Equation f （z）n+f（z+c）m=e?琢z+?茁〔J〕. Mediterranean Journal of Mathematics， 2022，19（3）：118-135.

[1]	Yang Zilan, Yang Huijuan , Li Rui . The Maximum Capacity Expansion of Spanning Tree Problem with Constraints [J]. Journal of Dali University, 2023, 8(12): 10-14.
[2]	Yang Limin. Independent Number and Independent Polynomial of Complete Product of Graph [J]. Journal of Dali University, 2023, 8(6): 1-8.
[3]	Wu Wenliang, Jiang Na, He Jiaying, Zhou Yangchuan. Studying the 3X+1 Conjecture by Quaternary Numeral System [J]. Journal of Dali University, 2023, 8(6): 9-13.
[4]	Zhang Yong. Research on Teaching of "Discrete Mathematics" Based on OBE Concept [J]. Journal of Dali University, 2022, 7(6): 37-41.
[5]	Yang Limin. Explicit Formulas of Hosoya Index and Merrifield-Simmons Index of Banana Trees [J]. Journal of Dali University, 2021, 6(12): 1-4.
[6]	Li Aizhen, Shi Yufeng, Zhang Chaoyuan. Integer Solution of the Diophantine Equation x2 + 1 024 = y15 [J]. Journal of Dali University, 2020, 5(12): 9-14.
[7]	DUAN Jiang-Mei, HAN Yan, YANG Hui-Juan. On Entire Solutions of Fermat Type Functional Equations [J]. , 2018, 3(12): 1-3.
[8]	Duan Jiangmei. On Meromorphic Solutions to Fermat Type Functional Equations [J]. , 2018, 3(6): 1-5.
[9]	Yang Zilan，Li Rui，Yang Huijuan. A Mathematical Model for Dual-Level Course Arrangement Based on School Satisfaction [J]. , 2017, 2(12): 12-15.
[10]	Zhou Shaoyan. The Structure of the Completely Regular Semigroup in Dn [J]. J4, 2016, 1(6): 1-3.
[11]	Zhan Yu, Hu Jiayuan. Exact Solutions of Two（2+1）-dimensional Long Water Wave Equations [J]. J4, 2015, 14(12): 1-6.
[12]	Zhou Shaoyan, Zhang Chaoyuan. The Structure of Two Types of Semigroups Relating to Regular Element in Dn [J]. J4, 2015, 14(6): 11-12.
[13]	YANG Huijuan. Restricted Node Multicut Problem in Trees [J]. J4, 2014, 13(12): 21-25.
[14]	LUO Xiao-Qiang. A Note of Congruence-free Regular Semigroups with Zero Element [J]. J4, 2014, 13(6): 7-9.
[15]	YANG Deng-Qi, LU Zheng-Fu, ZUO Guo-Chao. The Design and Implement of Algorithm Expression Auto-generation for Modulo Reduction Operation [J]. J4, 2013, 12(4): 12-16.