Ricci, Paolo EmilioSrivastava, RekhaCaratelli, Diego2024-05-092024-05-092024Ricci, P. E., Srivastava, R., & Caratelli, D. (2024). Laguerre-type Bernoulli and Euler numbers and related fractional polynomials. Mathematics, 12(3), 381. https://doi.org/10.3390/math12030381https://doi.org/10.3390/math12030381https://hdl.handle.net/1828/16506We extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials. The case of fractional Bernoulli and Euler polynomials and numbers has already been considered in a previous paper of which this article is a further generalization. Furthermore, we exploited the Laguerre-type fractional exponentials to define a generalized form of the classical Laplace transform. We show some examples of these generalized mathematical entities, which were derived using the computer algebra system Mathematica© (latest v. 14.0).enAttribution 4.0 InternationalArticleDepartment of Mathematics and Statistics