Homogeneous Linear Calculus of Order 1 and a $λ$-Taylor Formula
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909665202274304 |
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| author | López, Ronald Orozco |
| author_facet | López, Ronald Orozco |
| contents | In this paper, a new calculus on sequences is defined. Also, the $λ$-derivative and the $λ$-integration are investigated. The fundamental theorem of $λ$-calculus is included. A suitable function basis for the $λ$-derivative and the $λ$-integral is provided, and various properties of this basis are given. A $λ$-Taylor formula for functions is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22976 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogeneous Linear Calculus of Order 1 and a $λ$-Taylor Formula López, Ronald Orozco Combinatorics 05A30, 33D45 In this paper, a new calculus on sequences is defined. Also, the $λ$-derivative and the $λ$-integration are investigated. The fundamental theorem of $λ$-calculus is included. A suitable function basis for the $λ$-derivative and the $λ$-integral is provided, and various properties of this basis are given. A $λ$-Taylor formula for functions is given. |
| title | Homogeneous Linear Calculus of Order 1 and a $λ$-Taylor Formula |
| topic | Combinatorics 05A30, 33D45 |
| url | https://arxiv.org/abs/2506.22976 |