Bicomplex generalized hypergeometric functions and their applications
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908303083175936 |
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| author | Bera, Snehasis Das, Sourav Banerjee, Abhijit |
| author_facet | Bera, Snehasis Das, Sourav Banerjee, Abhijit |
| contents | In this work, generalized hypergeometric functions for bicomplex argument is introduced and its convergence criteria is derived. Furthermore, integral representation of this function has been established. Moreover, quadratic transformation, differential relation, analyticity and contiguous relations of this function are derived. Additionally, applications in quantum information system and quantum optics are provided as a consequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08550 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bicomplex generalized hypergeometric functions and their applications Bera, Snehasis Das, Sourav Banerjee, Abhijit Complex Variables 30G35, 33C20, 81R30 In this work, generalized hypergeometric functions for bicomplex argument is introduced and its convergence criteria is derived. Furthermore, integral representation of this function has been established. Moreover, quadratic transformation, differential relation, analyticity and contiguous relations of this function are derived. Additionally, applications in quantum information system and quantum optics are provided as a consequence. |
| title | Bicomplex generalized hypergeometric functions and their applications |
| topic | Complex Variables 30G35, 33C20, 81R30 |
| url | https://arxiv.org/abs/2310.08550 |