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Towards a geometric interpretation of generalized fractional integrals — Erdélyi-Kober type integrals on R N, as an example

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Abstract

A family of generalized Erdélyi-Kober type fractional integrals is interpreted geometrically as a distortion of the rotationally invariant integral kernel of the Riesz fractional integral in terms of generalized Cassini ovaloids on R N. Based on this geometric point of view, several extensions are discussed.

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  1. GigaHedron, Berliner Ring 80, D-63303, Dreieich, Germany

    Richard Herrmann

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  1. Richard Herrmann
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Correspondence to Richard Herrmann.

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Herrmann, R. Towards a geometric interpretation of generalized fractional integrals — Erdélyi-Kober type integrals on R N, as an example. fcaa 17, 361–370 (2014). https://doi.org/10.2478/s13540-014-0174-4

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  • DOI: https://doi.org/10.2478/s13540-014-0174-4

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