On the Laplace transforms of derivatives of special functions with respect to parameters

Sergei Rogosin; Filippo Giraldi; Francesco Mainardi

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arXiv · 2507.02889

On the Laplace transforms of derivatives of special functions with respect to parameters

Sergei Rogosin·Filippo Giraldi·Francesco Mainardi

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Abstract

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

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Sergei Rogosin, Filippo Giraldi, Francesco Mainardi. 2025-06-20. On the Laplace transforms of derivatives of special functions with respect to parameters. https://arxiv.org/abs/2507.02889

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