A note on the orthogonality properties of the pseudo-Chebyshev functions

Diego Caratelli (Corresponding author), Paolo Emilio Ricci

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

A novel class of pseudo-Chebyshev functions has been recently introduced, and the relevant analytical properties in terms of governing differential equation, recurrence formulae, and orthogonality have been analyzed in detail for half-integer degrees. In this paper, the previous studies are extended to the general case of rational degree. In particular, it is shown that the orthogonality properties of the pseudo-Chebyshev functions do not hold any longer.

Original languageEnglish
Article number1273
Number of pages7
JournalSymmetry
Volume12
Issue number8
DOIs
Publication statusPublished - Aug 2020

Keywords

  • Differential equations
  • Grandi curves
  • Orthogonality properties
  • Pseudo-Chebyshev functions
  • Recurrence relations

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