English

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

General Physics 2014-05-27 v1

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 RNR^N. Based on this geometric view, several extensions are discussed.

Keywords

Cite

@article{arxiv.1401.6051,
  title  = {Towards a geometric interpretation of generalized fractional integrals - Erdelyi-Kober type integrals on $R^N$ as an example},
  author = {Richard Herrmann},
  journal= {arXiv preprint arXiv:1401.6051},
  year   = {2014}
}

Comments

8 pages, 2 figures