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<p>We consider a bicomplex extension of Green’s theorem, which is a key result in the integral calculus. By its application, we illustrate the bicomplex Cauchy–Goursat theorem and employ the bicomplex version of Green’s theorem in order to efficiently determine numerous integrals involving various forms of bicomplex functions.</p>

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Bicomplex Green’s Theorem and Its Application

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • Mahesh Puri Goswami,
  • Raj Kumar

摘要

We consider a bicomplex extension of Green’s theorem, which is a key result in the integral calculus. By its application, we illustrate the bicomplex Cauchy–Goursat theorem and employ the bicomplex version of Green’s theorem in order to efficiently determine numerous integrals involving various forms of bicomplex functions.