Fractional derivative of the Hurwitz ζ-function and chaotic decay to zero

Autor: C. Cattani, E. Guariglia

Publikováno v: Journal of King Saud University: Science, Vol 28, Iss 1, Pp 75-81 (2016)

In this paper the fractional order derivative of a Dirichlet series, Hurwitz zeta function and Riemann zeta function is explicitly computed using the Caputo fractional derivative in the Ortigueira sense. It is observed that the obtained results are a

Externí odkaz: https://doaj.org/article/067c9c35bae1435282296eae8e1d16df

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Fractional derivative of the Hurwitz ζ-function and chaotic decay to zero

Autor: Carlo Cattani, Emanuel Guariglia

Publikováno v: Journal of King Saud University: Science, Vol 28, Iss 1, Pp 75-81 (2016)

In this paper the fractional order derivative of a Dirichlet series, Hurwitz zeta function and Riemann zeta function is explicitly computed using the Caputo fractional derivative in the Ortigueira sense. It is observed that the obtained results are a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::332eb001c9f1d54874703702eea41320
http://www.sciencedirect.com/science/article/pii/S1018364715000385

Fractional calculus, zeta functions and Shannon entropy

Autor: Emanuel Guariglia

Publikováno v: Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Open Mathematics, Vol 19, Iss 1, Pp 87-100 (2021)

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 a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f99502fe482fe2707e54768e6881649a

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