Towards a geometric interpretation of generalized fractional integrals - Erdelyi-Kober type integrals on $R^N$ as an example
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2013
- DOI:
- 10.48550/arXiv.1401.6051
- arXiv:
- arXiv:1401.6051
- Bibcode:
- 2014arXiv1401.6051H
- Keywords:
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- Physics - General Physics
- E-Print:
- 8 pages, 2 figures