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<p>In this paper, we have explored the forms of transcendental entire solutions for two categories of <i>q</i>-shift equations in the complex plane. The first investigation focused on Fermat-type simultaneous binomial <i>q</i>-shift equations, while the second dealt with trinomial <i>q</i>-shift equation. We have provided examples to illustrate and justify our findings.</p>

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On Transcendental entire solutions of two-types of q-shift equations

  • 期刊论文

  • 发表日期：

    2025年9月18日

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  • Jhuma Sarkar,
  • Abhijit Banerjee

摘要

In this paper, we have explored the forms of transcendental entire solutions for two categories of q-shift equations in the complex plane. The first investigation focused on Fermat-type simultaneous binomial q-shift equations, while the second dealt with trinomial q-shift equation. We have provided examples to illustrate and justify our findings.