Lucas-Pantograph Type Exponential, Trigonometric, and Hyperbolic Functions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917216049430528 |
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| author | López, Ronald Orozco |
| author_facet | López, Ronald Orozco |
| contents | In this paper, we include some new results for the Lucas calculus. A Lucas-Pantograph type exponential function is introduced. Additionally, we define Lucas-Pantograph type trigonometric functions, and some of their most notable identities are given: parity, sum and difference formulas, Pythagorean identities, double-angle identities, and some special values. Lucas-Pantograph type hyperbolic functions are also introduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15272 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lucas-Pantograph Type Exponential, Trigonometric, and Hyperbolic Functions López, Ronald Orozco Combinatorics Primary 05A30. Secondary 33B10, 11B39 In this paper, we include some new results for the Lucas calculus. A Lucas-Pantograph type exponential function is introduced. Additionally, we define Lucas-Pantograph type trigonometric functions, and some of their most notable identities are given: parity, sum and difference formulas, Pythagorean identities, double-angle identities, and some special values. Lucas-Pantograph type hyperbolic functions are also introduced. |
| title | Lucas-Pantograph Type Exponential, Trigonometric, and Hyperbolic Functions |
| topic | Combinatorics Primary 05A30. Secondary 33B10, 11B39 |
| url | https://arxiv.org/abs/2601.15272 |