Reflection properties of zeta related functions in terms of fractional derivatives

DOI10.1515/FCA-2020-0025zbMath1452.11107OpenAlexW3029042792MaRDI QIDQ2197311

Anderson K. Kohara, Erasmo M. Ferreira, Javier Sesma

Publication date: 31 August 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: http://zaguan.unizar.es/record/101608

zbMATH Keywords

Hurwitz zeta functionpolygamma functionLerch's transcendentWeyl fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New properties of the Lerch's transcendent
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• The special functions of fractional calculus as generalized fractional calculus operators of some basic functions
• Polygamma functions of negative order
• Fractional calculus operators of special functions? The result is well predictable!
• Historical survey: the chronicles of fractional calculus
• Fractional Derivatives and Special Functions
• Polygamma Functions of Arbitrary Order
• Errata: Polygamma Functions of Arbitrary Order
• All the special functions are fractional differintegrals of elementary functions
• Values of the Legendre chi and Hurwitz zeta functions at rational arguments
• A generalized polygamma function

This page was built for publication: Reflection properties of zeta related functions in terms of fractional derivatives