Fractional calculus, zeta functions and Shannon entropy

dc.contributor	Universidade Estadual Paulista (Unesp)
dc.date.accessioned	2021-06-25T10:30:57Z
dc.date.accessioned	2022-12-19T22:16:18Z
dc.date.available	2021-06-25T10:30:57Z
dc.date.available	2022-12-19T22:16:18Z
dc.date.created	2021-06-25T10:30:57Z
dc.date.issued	2021-01-01
dc.identifier	Open Mathematics, v. 19, n. 1, p. 87-100, 2021.
dc.identifier	2391-5455
dc.identifier	http://hdl.handle.net/11449/206373
dc.identifier	10.1515/math-2021-0010
dc.identifier	2-s2.0-85106314924
dc.identifier.uri	https://repositorioslatinoamericanos.uchile.cl/handle/2250/5386970
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.
dc.language	eng
dc.relation	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
dc.type	Artículos de revistas