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Title: | Laplace transform and the Mittag-Leffler function |
Keywords: | Mittag-Leffler function Laplace transform Special functions |
Issue Date: | 2014 |
Publisher: | Taylor & Francis Online |
Citation: | TEODORO, G. S.; OLIVEIRA, E. C. de. Laplace transform and the Mittag-Leffler function. International Journal of Mathematical Education in Science and Technology, [S.l.], v. 45, n. 4, 2014. |
Abstract: | The exponential function is solution of a linear differential equation with constant coefficients, and the Mittag-Leffler function is solution of a fractional linear differential equation with constant coefficients. Using infinite series and Laplace transform, we introduce the Mittag-Leffler function as a generalization of the exponential function. Particular cases are recovered. |
URI: | https://www.tandfonline.com/doi/full/10.1080/0020739X.2013.851803 http://repositorio.ufla.br/jspui/handle/1/37529 |
Appears in Collections: | DEX - Artigos publicados em periódicos |
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