A FUNCTIONAL EQUATION FOR THE RIEMANN ZETA FRACTIONAL DERIVATIVE

被引：24

作者：

Guariglia, Emanuel ^{[1
,2
]}

Silvestrov, Sergei ^{[1
]}

机构：

[1] Malardalen Univ, Sch Educ Culture & Commun, Div Appl Math, S-72123 Vasteras, Sweden

[2] Univ Salerno, Dept Phys ER Caianiello, Via Giovanni Paolo 2, I-84084 Fisciano, Italy

来源：

ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES | 2017年 / 1798卷

关键词：

Riemann zeta function; generalized Grunwald-Letnikov fractional derivative; generalized Leibniz rule; functional equation;

D O I：

10.1063/1.4972655

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：10

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