Fractional calculus, zeta functions and Shannon entropy
| dc.contributor.author | Guariglia, Emanuel [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2021-06-25T10:30:57Z | |
| dc.date.available | 2021-06-25T10:30:57Z | |
| dc.date.issued | 2021-01-01 | |
| dc.description.abstract | This paper deals with the fractional calculus of zeta functions. In particular, the study is focused on the Hurwitz ζ \zeta function. All the results are based on the complex generalization of the Grünwald-Letnikov fractional derivative. We state and prove the functional equation together with an integral representation by Bernoulli numbers. Moreover, we treat an application in terms of Shannon entropy. | en |
| dc.description.affiliation | Institute of Biosciences Letters and Exact Sciences São Paulo State University (UNESP), Rua Cristóvão Colombo 2265 | |
| dc.description.affiliationUnesp | Institute of Biosciences Letters and Exact Sciences São Paulo State University (UNESP), Rua Cristóvão Colombo 2265 | |
| dc.format.extent | 87-100 | |
| dc.identifier | http://dx.doi.org/10.1515/math-2021-0010 | |
| dc.identifier.citation | Open Mathematics, v. 19, n. 1, p. 87-100, 2021. | |
| dc.identifier.doi | 10.1515/math-2021-0010 | |
| dc.identifier.issn | 2391-5455 | |
| dc.identifier.scopus | 2-s2.0-85106314924 | |
| dc.identifier.uri | http://hdl.handle.net/11449/206373 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Open Mathematics | |
| dc.source | Scopus | |
| dc.subject | Bernoulli numbers | |
| dc.subject | fractional derivative | |
| dc.subject | functional equation | |
| dc.subject | Hurwitz ζ function | |
| dc.subject | Shannon entropy | |
| dc.title | Fractional calculus, zeta functions and Shannon entropy | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |