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A functional equation for the Riemann zeta fractional derivative
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Utbildningsvetenskap och Matematik. University of Salerno, Italy. (MAM)ORCID-id: 0000-0003-3320-1493
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Utbildningsvetenskap och Matematik. (MAM)ORCID-id: 0000-0003-4554-6528
2017 (engelsk)Inngår i: Proceedings of INCPAA 2016, 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences / [ed] Sivasundaram, S, American Institute of Physics (AIP), 2017, Vol. 1798, s. 020063-1-020063-10, artikkel-id UNSP 020063Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

In this paper a functional equation for the fractional derivative of the Riemann zeta function is presented. The fractional derivative of the zeta function 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 the Rieman zeta function in order to obtain the result sought. Moreover, further properties of this fractional derivative are proposed and discussed.

sted, utgiver, år, opplag, sider
American Institute of Physics (AIP), 2017. Vol. 1798, s. 020063-1-020063-10, artikkel-id UNSP 020063
Emneord [en]
Riemann zeta function, generalized Grunwald-Letnikov fractional derivative, generalized Leibniz rule, functional equation.
HSV kategori
Forskningsprogram
matematik/tillämpad matematik
Identifikatorer
URN: urn:nbn:se:mdh:diva-33255DOI: 10.1063/1.4972655ISI: 000399203000063Scopus ID: 2-s2.0-85013642866ISBN: 9780735414648 (tryckt)OAI: oai:DiVA.org:mdh-33255DiVA, id: diva2:974554
Konferanse
ICNPAA 2016 World Congress "Mathematical Problems in Engineering, Aerospace and Sciences", La Rochelle, France, 05-08 July 2016.
Tilgjengelig fra: 2016-09-26 Laget: 2016-09-26 Sist oppdatert: 2018-12-18bibliografisk kontrollert

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