On Meromorphic Solutions of Some Fermat-Type Functional Equations

IF 0.3 4区数学 Q4 MATHEMATICS Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-07-09 DOI:10.3103/s1068362324700092

J. T. Lu, J. F. Xu

引用次数: 0

Abstract

In this paper, we study the existence of meromorphic solutions of hyperorder strictly less than 1 to functional equation \(f(z)^{2}+f(z+c)^{3}=e^{P},f(z)^{2}+f(z+c)^{4}=e^{P}\) and the solution of the difference analogue of Fermat-type equation of the form \(f(z)^{3}+[c_{1}f(z+c)+c_{0}f(z)]^{3}=e^{P}\), where \(P\) is a polynomial. These results generalize the results of Lü and Guo [Mediterr. J. Math. 2022] and Ahamed [J. Contemp. Math. Anal. 2021].

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论某些费马型函数方程的同态解

摘要本文研究了函数方程 \(f(z)^{2}+f(z+c)^{3}=e^{P}、f(z)^{2}+f(z+c)^{4}=e^{P}\)和费马方程的差分类似形式 \(f(z)^{3}+[c_{1}f(z+c)+c_{0}f(z)]^{3}=e^{P}\)的解，其中 \(P\) 是多项式。这些结果概括了 Lü 和 Guo [Mediterr.

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) is an outlet for research stemming from the widely acclaimed Armenian school of theory of functions, this journal today continues the traditions of that school in the area of general analysis. A very prolific group of mathematicians in Yerevan contribute to this leading mathematics journal in the following fields: real and complex analysis; approximations; boundary value problems; integral and stochastic geometry; differential equations; probability; integral equations; algebra.