First Order Linear Proportional Difference Equation with Integration Factor the $(s,t)$-Pantograph Function
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929348520443904 |
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| author | López, Ronald Orozco |
| author_facet | López, Ronald Orozco |
| contents | In this paper, we find solutions to first-order linear proportional difference equations via the $(s,t)$-integration factor method. The $(s,t)$-integration factor involves the $(s,t)$-Pantograph function, which is a generalization of the partial Theta function. Other equations are solved including the $(s,t)$-analog of the Bernoulli equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11332 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | First Order Linear Proportional Difference Equation with Integration Factor the $(s,t)$-Pantograph Function López, Ronald Orozco Classical Analysis and ODEs In this paper, we find solutions to first-order linear proportional difference equations via the $(s,t)$-integration factor method. The $(s,t)$-integration factor involves the $(s,t)$-Pantograph function, which is a generalization of the partial Theta function. Other equations are solved including the $(s,t)$-analog of the Bernoulli equation. |
| title | First Order Linear Proportional Difference Equation with Integration Factor the $(s,t)$-Pantograph Function |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2405.11332 |