Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in $$ \mathbb {C}^n $$

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-04-27 DOI:10.1007/s11785-024-01530-4

Sanju Mandal, Molla Basir Ahamed

引用次数: 0

Abstract

This paper employs Nevanlinna value distribution theory in several complex variables to explore the characteristics and form of finite as well as infinite order solutions of Circular-type nonlinear partial differential-difference equations in $\mathbb {C}^n$. The results obtained in this paper contribute to the improvement and generalization of some recent results. In addition, illustrative examples are provided to validate the conclusions drawn from the main results. Moreover, we investigate the infinite-order solutions of Circular-type functional equations in $ \mathbb {C}^n $.

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$$ \mathbb {C}^n $$ 中循环型偏微分-差分方程的有限阶解的特征

本文采用多个复变数中的 Nevanlinna 值分布理论来探讨 $\mathbb {C}^n$ 中循环型非线性偏微分-差分方程的有限阶以及无穷阶解的特征和形式。本文获得的结果有助于改进和推广一些最新成果。此外，本文还提供了示例来验证从主要结果中得出的结论。此外，我们还研究了 $ \mathbb {C}^n $ 中循环型函数方程的无穷阶解。

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

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.