• Corpus ID: 209386818

Lectures on exceptional orthogonal polynomials and rational solutions to Painlev\'e equations

  title={Lectures on exceptional orthogonal polynomials and rational solutions to Painlev\'e equations},
  author={David G'omez-Ullate and Robert Milson},
  journal={arXiv: Mathematical Physics},
These are the lecture notes for a course on exceptional polynomials taught at the \textit{AIMS-Volkswagen Stiftung Workshop on Introduction to Orthogonal Polynomials and Applications} that took place in Douala (Cameroon) from October 5-12, 2018. They summarize the basic results and construction of exceptional poynomials, developed over the past ten years. In addition, some new results are presented on the construction of rational solutions to Painleve equation PIV and its higher order… 

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