Integration of Bicomplex Valued Function along Hyperbolic Curve
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929211258699776 |
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| author | Ghosh, Chinmay Mondal, Soumen |
| author_facet | Ghosh, Chinmay Mondal, Soumen |
| contents | In this paper, we have defined bicomplex valued functions of bounded variations and rectifiable hyperbolic path. We have studied the integration of product-type bicomplex functions over rectifiable hyperbolic path. Also we have established bicomplex analogue of the Fundamental Theorem of Calculus for line integral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08354 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Integration of Bicomplex Valued Function along Hyperbolic Curve Ghosh, Chinmay Mondal, Soumen Complex Variables 30E20, 30G35, 32A30 In this paper, we have defined bicomplex valued functions of bounded variations and rectifiable hyperbolic path. We have studied the integration of product-type bicomplex functions over rectifiable hyperbolic path. Also we have established bicomplex analogue of the Fundamental Theorem of Calculus for line integral. |
| title | Integration of Bicomplex Valued Function along Hyperbolic Curve |
| topic | Complex Variables 30E20, 30G35, 32A30 |
| url | https://arxiv.org/abs/2207.08354 |