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Two‐sided and regularised Riesz‐Feller derivatives

Manuel Duarte Ortigueira

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Source: Crossref

Published: Jul 16, 2019

DOI: 10.1002/mma.5720

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Source abstract

The two‐sided derivatives, the Riesz‐Feller potentials, and their interrelations are studied in this paper. A general integral formulation for two‐sided derivatives and anti‐derivatives is introduced. The integer order cases are studied. Regularised Riesz‐Feller derivatives are proposed.

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Two‐sided and regularised Riesz‐Feller derivatives — Mathematical Frontier Network