Fermat型函数方程的亚纯解
The Meromorphic Solutions of Fermat Type Functional Equations
摘要: 研究了Fermat型函数方程f7(z)+(fs(z))7+h7(z)=1亚纯解的存在性问题，得到新的结论。
Abstract: We investigate the existence of meromorphic solutions of Fermat type functional equations f7(z)+(fs(z))7+h7(z)=1 and obtain a new conclusion.
文章引用：段江梅, 杨惠娟, 胡晓飞. Fermat型函数方程的亚纯解[J]. 理论数学, 2023, 13(11): 3198-3203. https://doi.org/10.12677/PM.2023.1311332

参考文献

[1] Gross, F. (1996) On the Functional Equation . Bulletin of the American Mathematical Society, 72, 86-89. [Google Scholar] [CrossRef] 
[2] Baker, I.N. (1966) On a Class of Meromorphic Functions. Proceedings of the American Mathematical Society, 17, 819-822. [Google Scholar] [CrossRef] 
[3] Hardy, G.H., Wright, E.M., Wiles, A., et al. (2008) An Introduction to the Theory of Numbers. Oxford University Press, Oxford.
[4] Lander, L.J. and Parkin, T.R. (1996) Counterexample to Euler’s Conjecture on Sums of Like Powers. Bulletin of the American Mathematical Society, 72, 1079. [Google Scholar] [CrossRef] 
[5] Elkies, N.D. (1988) On . Mathematics of Computation, 51, 825-835. [Google Scholar] [CrossRef] 
[6] Molluzo, J. (1972) Monotonicity of Quadrature For-mulas and Polynomial Representation. Ph.D. Thesis, Yeshiva University, New York.
[7] Green, M. (1975) Some Pi-card Theorems for Holomorphic Maps to Algebric Varieties. American Journal of Mathematics, 97, 43-75. [Google Scholar] [CrossRef] 
[8] Gundersen, G.G. and Tohge, K. (2004) Entire and Meromorphic Solutions of . In: Symposium on Complex Differential and Functional Equations, Report Series No. 6, University of Joensuu, Joensuu, Vol. 6, 57-67.
[9] Gundersen, G.G. (2001) Meromorphic Solutions of . The Chuang Special Issue. Complex Variables, Theory and Application: An International Journal, 43, 293-298. [Google Scholar] [CrossRef] 
[10] Gundersen, G.G. (1998) Meromorphic Solution of . Analysis, 18, 285-290. [Google Scholar] [CrossRef] 
[11] Hayman, W.K. (1985) Waring’s problem für analytische funktionen. Bayerische Akademie der Wissenschaften Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte, 1-13.
[12] 苏敏, 李玉华. 关于函数方程非平凡亚纯解的研究[J]. 云南师范大学学报: 自然科学版, 2009, 29(2): 41-44.
[13] 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.
[14] Chiang, Y.M. and Feng, S.J. (2008) On the Nevanlinna Characteristic of and Difference Equations in the Complex Plane. The Ramanujan Journal, 16, 105-129. [Google Scholar] [CrossRef] 
[15] 杨乐. 值分布理论及其新研究[M]. 北京: 科学出版社, 1982.

为你推荐