Laguerre-type Bernoulli and Euler numbers and related fractional polynomials

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dc.contributor.authorRicci, Paolo Emilio
dc.contributor.authorSrivastava, Rekha
dc.contributor.authorCaratelli, Diego
dc.date.accessioned2024-05-09T16:04:12Z
dc.date.available2024-05-09T16:04:12Z
dc.date.issued2024
dc.description.abstractWe 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).
dc.description.reviewstatusReviewed
dc.description.scholarlevelFaculty
dc.identifier.citationRicci, 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/math12030381
dc.identifier.urihttps://doi.org/10.3390/math12030381
dc.identifier.urihttps://hdl.handle.net/1828/16506
dc.language.isoen
dc.publisherMathematics
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleLaguerre-type Bernoulli and Euler numbers and related fractional polynomials
dc.typeArticle

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