On the Laplace transforms of derivatives of special functions with respect to parameters
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911038019993600 |
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| author | Rogosin, Sergei Giraldi, Filippo Mainardi, Francesco |
| author_facet | Rogosin, Sergei Giraldi, Filippo Mainardi, Francesco |
| contents | This article is devoted to derivation of the Laplace transforms of the derivatives with respect to parameters of certain special functions, namely, the Mittag-Leffler type, Wright and Le Roy type functions. These formulas show interconnection of these functions and lead to better understanding of their behaviour on the real line. These formulas are represented in the convoluted form and reconstructed in a more suitable form by using Efros theorem |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Laplace transforms of derivatives of special functions with respect to parameters Rogosin, Sergei Giraldi, Filippo Mainardi, Francesco General Mathematics 44A10, 33B15, 33E12, 33C60 This article is devoted to derivation of the Laplace transforms of the derivatives with respect to parameters of certain special functions, namely, the Mittag-Leffler type, Wright and Le Roy type functions. These formulas show interconnection of these functions and lead to better understanding of their behaviour on the real line. These formulas are represented in the convoluted form and reconstructed in a more suitable form by using Efros theorem |
| title | On the Laplace transforms of derivatives of special functions with respect to parameters |
| topic | General Mathematics 44A10, 33B15, 33E12, 33C60 |
| url | https://arxiv.org/abs/2507.02889 |