On the Laplace transforms of derivatives of special functions with respect to parameters
General Mathematics
2025-07-08 v1
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
Keywords
Cite
@article{arxiv.2507.02889,
title = {On the Laplace transforms of derivatives of special functions with respect to parameters},
author = {Sergei Rogosin and Filippo Giraldi and Francesco Mainardi},
journal= {arXiv preprint arXiv:2507.02889},
year = {2025}
}
Comments
23 pages