Bicomplex Green's theorem and its application

Authors

  • Mahesh Puri Goswami Department of Mathematics and Statistics, Mohanlal Sukhadia University, Udaipur, India
  • Raj Kumar Department of Mathematics and Statistics, Mohanlal Sukhadia University, Udaipur, India; Department of Mathematics, Zakir Husain Delhi College, University of Delhi, India

DOI:

https://doi.org/10.3842/umzh.v77i3.8094

Keywords:

Green’s theorem,, Idempotent representation, Bicomplex holomorphic functions, Bicomplex integration

Abstract

UDC 517.9

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.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 3, 2025.

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Published

07.11.2025

Issue

Vol. 77 No. 3 (2025)

Section

Research articles

License

Copyright (c) 2025 Mahesh Puri Goswami, Raj Kumar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Goswami, Mahesh Puri, and Raj Kumar. “Bicomplex Green’s Theorem and Its Application”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 3, Nov. 2025, pp. 230–231, https://doi.org/10.3842/umzh.v77i3.8094.