Laplace Transform of nested analytic functions via Bell’s polynomials

Paolo Emilio RİCCİ; Diego CARATELLİ; Sandra PİNELAS

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Laplace Transform of nested analytic functions via Bell’s polynomials

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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.

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《Advances in the Theory of Nonlinear Analysis and its Applications》 |2023年第1期|162-177|共16页
作者
Paolo Emilio RİCCİ; Diego CARATELLİ; Sandra PİNELAS;
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作者单位

UniNettuno Telematic University;

Eindhoven University of Technology;

Academia Militar;

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原文格式 PDF
正文语种英语
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Laplace transform; Bell; Composite functions;

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Laplace Transform of nested analytic functions via Bell’s polynomials

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