Integration Formulas Involving Fibonacci and Lucas Numbers
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917681692672000 |
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| author | Adegoke, Kunle Frontczak, Robert |
| author_facet | Adegoke, Kunle Frontczak, Robert |
| contents | We present a range of difficult integration formulas involving Fibonacci and Lucas numbers and trigonometric functions. These formulas are often expressed in terms of special functions like the dilogarithm and Clausen's function. We also prove complements of integral identities of Dilcher (2000) and Stewart (2022). Many of our results are based on a fundamental lemma dealing with differentiation of complex-valued Fibonacci (Lucas) functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Integration Formulas Involving Fibonacci and Lucas Numbers Adegoke, Kunle Frontczak, Robert General Mathematics 11B39, 11B37 We present a range of difficult integration formulas involving Fibonacci and Lucas numbers and trigonometric functions. These formulas are often expressed in terms of special functions like the dilogarithm and Clausen's function. We also prove complements of integral identities of Dilcher (2000) and Stewart (2022). Many of our results are based on a fundamental lemma dealing with differentiation of complex-valued Fibonacci (Lucas) functions. |
| title | Integration Formulas Involving Fibonacci and Lucas Numbers |
| topic | General Mathematics 11B39, 11B37 |
| url | https://arxiv.org/abs/2406.00064 |