Summation formulas obtained by means of the generalized chain rule for fractional derivatives

DOI10.1155/2014/820951zbMath1309.30034OpenAlexW1965041863WikidataQ59053336 ScholiaQ59053336MaRDI QIDQ2338826

Richard Tremblay, Sebastien Gaboury

Publication date: 27 March 2015

Published in: Journal of Complex Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/820951

zbMATH Keywords

fractional derivativesanalytic functions of one variable

Mathematics Subject Classification ID

Miscellaneous topics of analysis in the complex plane (30E99)

Related Items (3)

Further properties of Osler's generalized fractional integrals and derivatives with respect to another function ⋮ New expansion formulas for a family of the \(\lambda\)-generalized Hurwitz-Lerch zeta functions ⋮ Further results involving a class of generalized Hurwitz-Lerch zeta functions

Cites Work

• The use of fractional derivatives to expand analytical functions in terms of quadratic functions with applications to special functions
• On a Concept of Derivative of Complex Order with Applications to Special Functions
• Taylor-like expansion in terms of a rational function obtained by means of fractional derivatives
• A new Leibniz rule and its integral analogue for fractional derivatives
• A new transformation formula for fractional derivatives with applications
• A note on some new series of special functions
• Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
• The Fractional Derivative of a Composite Function
• Taylor’s Series Generalized for Fractional Derivatives and Applications
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