Fractional differential relations for the Lerch zeta function

DOI10.1007/S00013-021-01654-5zbMath1470.11228arXiv2006.01046OpenAlexW3199018342MaRDI QIDQ2232142

Jean-Daniel Djida, Arran Fernandez

Publication date: 4 October 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.01046

zbMATH Keywords

fractional calculusLerch zeta functionpartial differential equations of infinite orders

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Hurwitz and Lerch zeta functions (11M35) Analytic continuation of functions of one complex variable (30B40) PDEs of infinite order (35R50)

Cites Work

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• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• On fractional calculus with general analytic kernels
• The Lerch zeta function II. Analytic continuation
• The Lerch zeta function as a fractional derivative
• Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series

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