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<p>In this article, we study transcendental entire solutions of certain non-linear <i>q</i>-shift differential equations in higher-dimensional complex fields. Such equations in the same settings have not been considered so far. The paper focuses on the formulation and analysis of these equations and examines the structure of their solutions. The results are illustrated by explicit examples and are presented in relation to existing work.</p>

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On solutions of generalized q-shift differential equations in higher dimensional complex plane

  • 期刊论文

  • 发表日期：

    2026年2月16日

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  • Jhuma Sarkar,
  • Abhijit Banerjee,
  • Goutam Haldar

摘要

In this article, we study transcendental entire solutions of certain non-linear q-shift differential equations in higher-dimensional complex fields. Such equations in the same settings have not been considered so far. The paper focuses on the formulation and analysis of these equations and examines the structure of their solutions. The results are illustrated by explicit examples and are presented in relation to existing work.