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 inte...
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| Дата: | 2025 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2025
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8094 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512892900605952 |
|---|---|
| author | Goswami, Mahesh Puri Kumar, Raj Goswami, Mahesh Puri Kumar, Raj |
| author_facet | Goswami, Mahesh Puri Kumar, Raj Goswami, Mahesh Puri Kumar, Raj |
| author_sort | Goswami, Mahesh Puri |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-11-08T09:36:22Z |
| description | 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. |
| doi_str_mv | 10.3842/umzh.v77i3.8094 |
| first_indexed | 2026-03-24T03:36:01Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8094 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:36:01Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-80942025-11-08T09:36:22Z Bicomplex Green's theorem and its application Bicomplex Green's theorem and its application Goswami, Mahesh Puri Kumar, Raj Goswami, Mahesh Puri Kumar, Raj Green’s theorem, Idempotent representation Bicomplex holomorphic functions Bicomplex integration 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. УДК 517.9 Бікомплексна теорема Гріна та її застосування Отримано бікомплексне розширення теореми Гріна, яка є ключовим результатом інтегрального числення. Завдяки його застосуванню продемонстровано бікомплексну теорему Коші–Гурса та використано бікомплексний варіант теореми Гріна для ефективного обчислення ряду інтегралів, що включають різні форми бікомплексних функцій. Institute of Mathematics, NAS of Ukraine 2025-11-07 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8094 10.3842/umzh.v77i3.8094 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 3 (2025); 230–231 Український математичний журнал; Том 77 № 3 (2025); 230–231 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8094/10419 Copyright (c) 2025 Mahesh Puri Goswami, Raj Kumar |
| spellingShingle | Goswami, Mahesh Puri Kumar, Raj Goswami, Mahesh Puri Kumar, Raj Bicomplex Green's theorem and its application |
| title | Bicomplex Green's theorem and its application |
| title_alt | Bicomplex Green's theorem and its application |
| title_full | Bicomplex Green's theorem and its application |
| title_fullStr | Bicomplex Green's theorem and its application |
| title_full_unstemmed | Bicomplex Green's theorem and its application |
| title_short | Bicomplex Green's theorem and its application |
| title_sort | bicomplex green's theorem and its application |
| topic_facet | Green’s theorem, Idempotent representation Bicomplex holomorphic functions Bicomplex integration |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8094 |
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