English

Generalized Cornu-type spirals and their Darboux parametric deformations

Mathematical Physics 2019-07-24 v2 math.MP

Abstract

We generalize the Fresnel integrals and introduce a class of planar spirals F_n, which contains the Cornu spiral as the case F_2. Their Darboux parametric deformations are also investigated. The F_3 spiral and its Darboux deformed counterparts are illustrated

Cite

@article{arxiv.1811.09328,
  title  = {Generalized Cornu-type spirals and their Darboux parametric deformations},
  author = {H. C. Rosu and S. C. Mancas and C. C. Hsieh},
  journal= {arXiv preprint arXiv:1811.09328},
  year   = {2019}
}

Comments

7 pages, 3 enclosed figures

R2 v1 2026-06-23T05:25:01.038Z