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A FUNCTIONAL EQUATION FOR THE RIEMANN ZETA FRACTIONAL DERIVATIVE
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Univ Salerno, Fisciano, Italy..ORCID iD: 0000-0003-3320-1493
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.ORCID iD: 0000-0003-4554-6528
2017 (English)In: ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES / [ed] Sivasundaram, S, AMER INST PHYSICS , 2017, article id UNSP 020146Conference paper, Published paper (Refereed)
Abstract [en]

In this paper a functional equation for the fractional derivative of the Riemann zeta function is presented. The fractional derivative of zeta is computed by a generalization of the Grunwald-Letnikov fractional operator, which satisfies the generalized Leibniz rule. It is applied to the asymmetric functional equation of zeta in order to obtain the result sought. Moreover, further properties of this fractional derivative are proposed and discussed.

Place, publisher, year, edition, pages
AMER INST PHYSICS , 2017. article id UNSP 020146
Series
AIP Conference Proceedings, ISSN 0094-243X ; 1798
Keywords [en]
Riemann zeta function, generalized Grunwald-Letnikov fractional derivative, generalized Leibniz rule, functional equation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-47371DOI: 10.1063/1.4972738ISI: 000399203000145ISBN: 978-0-7354-1464-8 (print)OAI: oai:DiVA.org:mdh-47371DiVA, id: diva2:1414791
Conference
11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA), JUL 04-08, 2016, Univ La Rochelle, La Rochelle, FRANCE
Available from: 2020-03-16 Created: 2020-03-16 Last updated: 2020-03-16Bibliographically approved

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Guariglia, EmanuelSilvestrov, Sergei

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