Laplace Transform of nested analytic functions via Bell’s polynomials
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 po...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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ATNAA
2024-01-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://atnaea.org/index.php/journal/article/view/33/32 |
| _version_ | 1797248557676232704 |
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| author | Paolo Emilio RİCCİ Diego CARATELLİ Sandra PİNELAS |
| author_facet | Paolo Emilio RİCCİ Diego CARATELLİ Sandra PİNELAS |
| author_sort | Paolo Emilio RİCCİ |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T20:16:29Z |
| format | Article |
| id | doaj.art-924d3163639949cb96588b23b5277e54 |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-24T20:16:29Z |
| publishDate | 2024-01-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-924d3163639949cb96588b23b5277e542024-03-22T17:01:43ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482024-01-0171162177Laplace Transform of nested analytic functions via Bell’s polynomialsPaolo Emilio RİCCİ0Diego CARATELLİ1Sandra PİNELAS2International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, 00186 - Roma, Italia.Department of Electrical Engineering, Eindhoven University of Technology, The NetherlandsAcademia Militar Departamento de Ciencias Exactas e Engenharia, Amadora, PortugalBell'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.https://atnaea.org/index.php/journal/article/view/33/32laplace transformbellcomposite functions |
| spellingShingle | Paolo Emilio RİCCİ Diego CARATELLİ Sandra PİNELAS Laplace Transform of nested analytic functions via Bell’s polynomials Advances in the Theory of Nonlinear Analysis and its Applications laplace transform bell composite functions |
| title | Laplace Transform of nested analytic functions via Bell’s polynomials |
| title_full | Laplace Transform of nested analytic functions via Bell’s polynomials |
| title_fullStr | Laplace Transform of nested analytic functions via Bell’s polynomials |
| title_full_unstemmed | Laplace Transform of nested analytic functions via Bell’s polynomials |
| title_short | Laplace Transform of nested analytic functions via Bell’s polynomials |
| title_sort | laplace transform of nested analytic functions via bell s polynomials |
| topic | laplace transform bell composite functions |
| url | https://atnaea.org/index.php/journal/article/view/33/32 |
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