- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 1
- Laplace Transform of nested analytic functions via Bell’s polynomials
Laplace Transform of nested analytic functions via Bell’s polynomials
Authors : Paolo Emilio RİCCİ, Diego CARATELLİ, Sandra PİNELAS
Pages : 162-177
Doi:10.31197/atnaa.1187617
View : 74 | Download : 205
Publication Date : 2023-03-31
Article Type : Research Article
Abstract :Bell\'s polynomials have been used in many different fields, ranging from number theory to operators theory. In this article we show a method to compute the Laplace Transform (LT) of nested analytic functions. To this aim, we provide a table of the first few values of the complete Bell\'s polynomials, which are then used to evaluate the LT of composite exponential functions. Furthermore a code for approximating the Laplace Transform of general analytic composite functions is created and presented. A graphical verification of the proposed technique is illustrated in the last section.Keywords : Laplace transform, Bell, Composite functions