English

Generalized Zernike polynomials: Integral representation and Cauchy transform

Classical Analysis and ODEs 2016-05-03 v1

Abstract

The aim of this paper is two fold. We derive an integral representation for the generalized 2D Zernike polynomials which are of independent interest and give the explicit expression of the action of the Cauchy transform on them.

Keywords

Cite

@article{arxiv.1605.00281,
  title  = {Generalized Zernike polynomials: Integral representation and Cauchy transform},
  author = {A. El Hamyani and A. Ghanmi and A. Intissar},
  journal= {arXiv preprint arXiv:1605.00281},
  year   = {2016}
}

Comments

7 pages

R2 v1 2026-06-22T13:45:53.209Z