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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2106.15109 |
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| _version_ | 1866914591727943680 |
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| author | Ding, Pisheng |
| author_facet | Ding, Pisheng |
| contents | Via a unified geometric approach, a class of generalized trigonometric functions with two parameters are analytically extended to maximal domains on which they are univalent. Some consequences are deduced concerning radius of convergence for the Maclaurin series, commutation with rotation, continuation beyond the domain of univalence, and periodicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_15109 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Analytic Continuation of Generalized Trigonometric Functions Ding, Pisheng Complex Variables 33E20, 30C20, 30B40 Via a unified geometric approach, a class of generalized trigonometric functions with two parameters are analytically extended to maximal domains on which they are univalent. Some consequences are deduced concerning radius of convergence for the Maclaurin series, commutation with rotation, continuation beyond the domain of univalence, and periodicity. |
| title | Analytic Continuation of Generalized Trigonometric Functions |
| topic | Complex Variables 33E20, 30C20, 30B40 |
| url | https://arxiv.org/abs/2106.15109 |