Laplace Transform of nested analytic functions via Bell’s polynomials

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Advances in the Theory of Nonlinear Analysis and its Application
Volume: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 : 88 | Download : 214

Publication Date : 2023-03-31

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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

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