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Fractional Derivative of Riemann zeta function and Main Properties
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-3320-1493
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2016 (English)Conference paper, Poster (Other academic)
Abstract [en]

The Caputo-Ortigueira fractional derivative provides the fractional derivativeof complex functions. This derivative plays an important role in the number theory, and has been shown suitable for the analysis of the Dirichlet series, Hurwitz zeta function and Riemann zeta function. An integral representation for the fractional derivative of the Riemann zeta function was discovered. Since the Riemann zeta function is widely used in Physics, the unilateral Fourier transform of its fractional derivative is computed to investigate its applications in Quantum Theory and Signal Processing.

Place, publisher, year, edition, pages
2016.
Keyword [en]
Caputo-Ortigueira fractional derivative, Riemann zeta function, integral representation
National Category
Computational Mathematics Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33259OAI: oai:DiVA.org:mdh-33259DiVA: diva2:974559
Conference
27th Nordic Congress of Mathematics, Stockholm, 16-20 March 2016
Available from: 2016-09-27 Created: 2016-09-27 Last updated: 2016-12-13Bibliographically approved

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CiteExportLink to record
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