Rodrigues formula and recurrence coefficients for non-symmetric Dunkl-classical orthogonal polynomials Articles uri icon

publication date

  • April 2021

start page

  • 451

end page

  • 466

issue

  • 2

volume

  • 56

International Standard Serial Number (ISSN)

  • 1572-9303

abstract

  • In this paper, we establish a distributional Rodrigues formula for non-symmetric Dunkl-classical orthogonal polynomial sequences. Then, we use this formula to determine, explicitly, the coefficients in the three-term recurrence relation that non-symmetric Dunkl-classical polynomial sequences satisfy.

keywords

  • dunkl-classical polynomials; orthogonal polynomials; recurrence coefficients; regular linear functionals; rodrigues formula