Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomials
In this study, asymptotic formulas for complex order Tangent, Tangent-Bernoulli, and Tangent-Genocchi polynomials are obtained through the method of contour integration, strategically avoiding branch cuts in the process. By employing this technique, the paper elucidates the behavior of these polynom...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Arab Journal of Basic and Applied Sciences |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/25765299.2024.2341455 |
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| author | Cristina B. Corcino Baby Ann Damgo Roberto B. Corcino Joy Ann A. Cañete |
| author_facet | Cristina B. Corcino Baby Ann Damgo Roberto B. Corcino Joy Ann A. Cañete |
| author_sort | Cristina B. Corcino |
| collection | DOAJ |
| description | In this study, asymptotic formulas for complex order Tangent, Tangent-Bernoulli, and Tangent-Genocchi polynomials are obtained through the method of contour integration, strategically avoiding branch cuts in the process. By employing this technique, the paper elucidates the behavior of these polynomials in the complex plane. Additionally, the investigation expands upon the Taylor series expansion of these functions, revealing alternative asymptotic expansions. This dual approach not only enhances our understanding of the asymptotic properties of these polynomials but also offers alternative mathematical perspectives, enriching the existing body of knowledge in this field. |
| format | Article |
| id | doaj-art-a1884007b4f84bc29e6285dbf2ca36ce |
| institution | DOAJ |
| issn | 2576-5299 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj-art-a1884007b4f84bc29e6285dbf2ca36ce2025-08-20T02:49:26ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992024-12-0131128229110.1080/25765299.2024.2341455Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomialsCristina B. Corcino0Baby Ann Damgo1Roberto B. Corcino2Joy Ann A. Cañete3Research Institute for Computational, Mathematics and Physics, Cebu Normal University, Cebu City, PhilippinesDepartment of Mathematics and Physics, Cebu Technological University, Cebu City, PhilippinesResearch Institute for Computational, Mathematics and Physics, Cebu Normal University, Cebu City, PhilippinesDepartment of Mathematics and Physics, Visayas State University, Baybay City, PhilippinesIn this study, asymptotic formulas for complex order Tangent, Tangent-Bernoulli, and Tangent-Genocchi polynomials are obtained through the method of contour integration, strategically avoiding branch cuts in the process. By employing this technique, the paper elucidates the behavior of these polynomials in the complex plane. Additionally, the investigation expands upon the Taylor series expansion of these functions, revealing alternative asymptotic expansions. This dual approach not only enhances our understanding of the asymptotic properties of these polynomials but also offers alternative mathematical perspectives, enriching the existing body of knowledge in this field.https://www.tandfonline.com/doi/10.1080/25765299.2024.2341455Asymptotic approximationBernoulli polynomialsEuler polynomialsGenocchi polynomialsTangent-Bernoulli polynomials and Tangent-Genocchi polynomialstangent polynomials |
| spellingShingle | Cristina B. Corcino Baby Ann Damgo Roberto B. Corcino Joy Ann A. Cañete Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomials Arab Journal of Basic and Applied Sciences Asymptotic approximation Bernoulli polynomials Euler polynomials Genocchi polynomials Tangent-Bernoulli polynomials and Tangent-Genocchi polynomials tangent polynomials |
| title | Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomials |
| title_full | Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomials |
| title_fullStr | Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomials |
| title_full_unstemmed | Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomials |
| title_short | Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomials |
| title_sort | asymptotic approximations of complex order tangent tangent bernoulli and tangent genocchi polynomials |
| topic | Asymptotic approximation Bernoulli polynomials Euler polynomials Genocchi polynomials Tangent-Bernoulli polynomials and Tangent-Genocchi polynomials tangent polynomials |
| url | https://www.tandfonline.com/doi/10.1080/25765299.2024.2341455 |
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