Year: 2025
Type: article
Abstract: In recent articles an extension of the exponential function including one or several parameters have been exploited to introduce generalized forms of linear dynamical systems, including population dynamics models, and some graphical curves and Chebyshev functions. In this article, by means of the Blissard problem we define the reciprocal of parametric or fractional parametric-type exponentials in order to define new-type Laplace transforms. Some examples are shown, derived by the second author using the computer algebra system Mathematica.
DOI: 10.62298/advmath.33
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7117979488