Towards a geometric interpretation of generalized fractional integrals - Erdelyi-Kober type integrals on $R^N$ as an example

Richard Herrmann

doi:10.2478/s13540-014-0174-4

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arXiv · 1401.6051

Towards a geometric interpretation of generalized fractional integrals - Erdelyi-Kober type integrals on $R^N$ as an example

Richard Herrmann

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Abstract

A family of generalized Erdelyi-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 view, several extensions are discussed.

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Richard Herrmann. 2013-12-09. Towards a geometric interpretation of generalized fractional integrals - Erdelyi-Kober type integrals on $R^N$ as an example. https://doi.org/10.2478/s13540-014-0174-4

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