Bicomplex Green's theorem and its application
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.
Authors
- Mahesh Puri Goswami (ORCID: https://orcid.org/0000-0003-1022-9696)
- Raj Kumar (ORCID: https://orcid.org/0000-0001-6959-4351)
Institutions
- Mohanlal Sukhadia University (IN)
Publication Details
- Journal
- Ukrains’kyi Matematychnyi Zhurnal
- Published
- 2025-05-08
- DOI
- https://doi.org/10.3842/umzh.v77i3.8094
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00