Fractional calculus, zeta functions and Shannon entropy

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 in...

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Bibliographic Details
Main Author: Guariglia Emanuel
Format: Article
Language:English
Published: De Gruyter 2021-04-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2021-0010