Work

On the Laplace Transforms of Derivatives of Special Functions with Respect to Parameters

Year: 2025

Type: article

Abstract: This article is devoted to the 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 the interconnection of these functions and lead to a better understanding of their behavior on the real line. These formulas are represented in a convoluted form and reconstructed in a more suitable form by using the Efros theorem.

Source: Mathematics

DOI: 10.3390/math13121980

Authors: Sergei Rogosin, Filippo Giraldi, Francesco Mainardi

Institutions: Belarusian State University, UniNettuno University, University of KwaZulu-Natal, University of Bologna

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4411350501

FWCI: 5.609

Cites: 16

Cited by: 3

Related to: 10